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Finding the Third Proportional to 872,134,634.50 and 1,340,533,462

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Solution

The third proportional to 872,134,634.50 and 1,340,533,462 is: 2,060,496,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,134,634.50 : 1,340,533,462 = 1,340,533,462 : x
  2. Step 2: Convert to fraction form
    872,134,634.50/1,340,533,462 = 1,340,533,462/x
  3. Step 3: Cross multiply
    872,134,634.50x = 1,340,533,462 × 1,340,533,462
  4. Step 4: Simplify right side
    872,134,634.50x = 1,797,029,962,741,705,472
  5. Step 5: Solve for x
    x = 1,797,029,962,741,705,472/872,134,634.50
  6. Step 6: Final answer
    x = 2,060,496,042.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.