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Finding the Third Proportional to 406,282 and 861,716

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Solution

The third proportional to 406,282 and 861,716 is: 1,827,682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,282 : 861,716 = 861,716 : x
  2. Step 2: Convert to fraction form
    406,282/861,716 = 861,716/x
  3. Step 3: Cross multiply
    406,282x = 861,716 × 861,716
  4. Step 4: Simplify right side
    406,282x = 742,554,464,656
  5. Step 5: Solve for x
    x = 742,554,464,656/406,282
  6. Step 6: Final answer
    x = 1,827,682.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.