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Finding the Third Proportional to 316,151 and 474,239

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Solution

The third proportional to 316,151 and 474,239 is: 711,377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,151 : 474,239 = 474,239 : x
  2. Step 2: Convert to fraction form
    316,151/474,239 = 474,239/x
  3. Step 3: Cross multiply
    316,151x = 474,239 × 474,239
  4. Step 4: Simplify right side
    316,151x = 224,902,629,121
  5. Step 5: Solve for x
    x = 224,902,629,121/316,151
  6. Step 6: Final answer
    x = 711,377.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.