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Finding the Third Proportional to 516,909 and 755,313

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Solution

The third proportional to 516,909 and 755,313 is: 1,103,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,909 : 755,313 = 755,313 : x
  2. Step 2: Convert to fraction form
    516,909/755,313 = 755,313/x
  3. Step 3: Cross multiply
    516,909x = 755,313 × 755,313
  4. Step 4: Simplify right side
    516,909x = 570,497,727,969
  5. Step 5: Solve for x
    x = 570,497,727,969/516,909
  6. Step 6: Final answer
    x = 1,103,671.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.