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Finding the Third Proportional to 418,939.59 and 904,286.53

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Solution

The third proportional to 418,939.59 and 904,286.53 is: 1,951,914.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,939.59 : 904,286.53 = 904,286.53 : x
  2. Step 2: Convert to fraction form
    418,939.59/904,286.53 = 904,286.53/x
  3. Step 3: Cross multiply
    418,939.59x = 904,286.53 × 904,286.53
  4. Step 4: Simplify right side
    418,939.59x = 817,734,130,600.16
  5. Step 5: Solve for x
    x = 817,734,130,600.16/418,939.59
  6. Step 6: Final answer
    x = 1,951,914.17

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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.