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Finding the Third Proportional to 418,915 and 904,241

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Solution

The third proportional to 418,915 and 904,241 is: 1,951,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,915 : 904,241 = 904,241 : x
  2. Step 2: Convert to fraction form
    418,915/904,241 = 904,241/x
  3. Step 3: Cross multiply
    418,915x = 904,241 × 904,241
  4. Step 4: Simplify right side
    418,915x = 817,651,786,081
  5. Step 5: Solve for x
    x = 817,651,786,081/418,915
  6. Step 6: Final answer
    x = 1,951,832.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.