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Finding the Third Proportional to 203,042,934.75 and 309,323,313.75

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Solution

The third proportional to 203,042,934.75 and 309,323,313.75 is: 471,234,877.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,042,934.75 : 309,323,313.75 = 309,323,313.75 : x
  2. Step 2: Convert to fraction form
    203,042,934.75/309,323,313.75 = 309,323,313.75/x
  3. Step 3: Cross multiply
    203,042,934.75x = 309,323,313.75 × 309,323,313.75
  4. Step 4: Simplify right side
    203,042,934.75x = 95,680,912,429,280,944
  5. Step 5: Solve for x
    x = 95,680,912,429,280,944/203,042,934.75
  6. Step 6: Final answer
    x = 471,234,877.23

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.