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Finding the Third Proportional to 418,878.84 and 904,176.42

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Solution

The third proportional to 418,878.84 and 904,176.42 is: 1,951,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,878.84 : 904,176.42 = 904,176.42 : x
  2. Step 2: Convert to fraction form
    418,878.84/904,176.42 = 904,176.42/x
  3. Step 3: Cross multiply
    418,878.84x = 904,176.42 × 904,176.42
  4. Step 4: Simplify right side
    418,878.84x = 817,535,001,874.68
  5. Step 5: Solve for x
    x = 817,535,001,874.68/418,878.84
  6. Step 6: Final answer
    x = 1,951,721.87

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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.