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Finding the Third Proportional to 418,644 and 872,712

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Solution

The third proportional to 418,644 and 872,712 is: 1,819,269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,644 : 872,712 = 872,712 : x
  2. Step 2: Convert to fraction form
    418,644/872,712 = 872,712/x
  3. Step 3: Cross multiply
    418,644x = 872,712 × 872,712
  4. Step 4: Simplify right side
    418,644x = 761,626,234,944
  5. Step 5: Solve for x
    x = 761,626,234,944/418,644
  6. Step 6: Final answer
    x = 1,819,269.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.