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Finding the Third Proportional to 177,942 and 391,534.50

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Solution

The third proportional to 177,942 and 391,534.50 is: 861,512.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,942 : 391,534.50 = 391,534.50 : x
  2. Step 2: Convert to fraction form
    177,942/391,534.50 = 391,534.50/x
  3. Step 3: Cross multiply
    177,942x = 391,534.50 × 391,534.50
  4. Step 4: Simplify right side
    177,942x = 153,299,264,690.25
  5. Step 5: Solve for x
    x = 153,299,264,690.25/177,942
  6. Step 6: Final answer
    x = 861,512.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.