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Finding the Third Proportional to 312,361,705,471.50 and 439,874,113,230

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Solution

The third proportional to 312,361,705,471.50 and 439,874,113,230 is: 619,439,681,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,361,705,471.50 : 439,874,113,230 = 439,874,113,230 : x
  2. Step 2: Convert to fraction form
    312,361,705,471.50/439,874,113,230 = 439,874,113,230/x
  3. Step 3: Cross multiply
    312,361,705,471.50x = 439,874,113,230 × 439,874,113,230
  4. Step 4: Simplify right side
    312,361,705,471.50x = 193,489,235,489,878,855,122,944
  5. Step 5: Solve for x
    x = 193,489,235,489,878,855,122,944/312,361,705,471.50
  6. Step 6: Final answer
    x = 619,439,681,947.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.