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Finding the Third Proportional to 415,955.25 and 638,958.16

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Solution

The third proportional to 415,955.25 and 638,958.16 is: 981,517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,955.25 : 638,958.16 = 638,958.16 : x
  2. Step 2: Convert to fraction form
    415,955.25/638,958.16 = 638,958.16/x
  3. Step 3: Cross multiply
    415,955.25x = 638,958.16 × 638,958.16
  4. Step 4: Simplify right side
    415,955.25x = 408,267,535,422.12
  5. Step 5: Solve for x
    x = 408,267,535,422.12/415,955.25
  6. Step 6: Final answer
    x = 981,517.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.