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Finding the Third Proportional to 516,021 and 758,856

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Solution

The third proportional to 516,021 and 758,856 is: 1,115,967.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,021 : 758,856 = 758,856 : x
  2. Step 2: Convert to fraction form
    516,021/758,856 = 758,856/x
  3. Step 3: Cross multiply
    516,021x = 758,856 × 758,856
  4. Step 4: Simplify right side
    516,021x = 575,862,428,736
  5. Step 5: Solve for x
    x = 575,862,428,736/516,021
  6. Step 6: Final answer
    x = 1,115,967.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.