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Finding the Third Proportional to 406,098 and 891,172

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Solution

The third proportional to 406,098 and 891,172 is: 1,955,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,098 : 891,172 = 891,172 : x
  2. Step 2: Convert to fraction form
    406,098/891,172 = 891,172/x
  3. Step 3: Cross multiply
    406,098x = 891,172 × 891,172
  4. Step 4: Simplify right side
    406,098x = 794,187,533,584
  5. Step 5: Solve for x
    x = 794,187,533,584/406,098
  6. Step 6: Final answer
    x = 1,955,654.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.