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Finding the Third Proportional to 386,432 and 591,174

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Solution

The third proportional to 386,432 and 591,174 is: 904,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,432 : 591,174 = 591,174 : x
  2. Step 2: Convert to fraction form
    386,432/591,174 = 591,174/x
  3. Step 3: Cross multiply
    386,432x = 591,174 × 591,174
  4. Step 4: Simplify right side
    386,432x = 349,486,698,276
  5. Step 5: Solve for x
    x = 349,486,698,276/386,432
  6. Step 6: Final answer
    x = 904,393.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.