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Finding the Third Proportional to 406,280 and 861,712

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Solution

The third proportional to 406,280 and 861,712 is: 1,827,674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,280 : 861,712 = 861,712 : x
  2. Step 2: Convert to fraction form
    406,280/861,712 = 861,712/x
  3. Step 3: Cross multiply
    406,280x = 861,712 × 861,712
  4. Step 4: Simplify right side
    406,280x = 742,547,570,944
  5. Step 5: Solve for x
    x = 742,547,570,944/406,280
  6. Step 6: Final answer
    x = 1,827,674.44

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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.