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Finding the Third Proportional to 354,909.09 and 516,166.17

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Solution

The third proportional to 354,909.09 and 516,166.17 is: 750,692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,909.09 : 516,166.17 = 516,166.17 : x
  2. Step 2: Convert to fraction form
    354,909.09/516,166.17 = 516,166.17/x
  3. Step 3: Cross multiply
    354,909.09x = 516,166.17 × 516,166.17
  4. Step 4: Simplify right side
    354,909.09x = 266,427,516,988.09
  5. Step 5: Solve for x
    x = 266,427,516,988.09/354,909.09
  6. Step 6: Final answer
    x = 750,692.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.