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Finding the Third Proportional to 61,860 and 87,390

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Solution

The third proportional to 61,860 and 87,390 is: 123,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,860 : 87,390 = 87,390 : x
  2. Step 2: Convert to fraction form
    61,860/87,390 = 87,390/x
  3. Step 3: Cross multiply
    61,860x = 87,390 × 87,390
  4. Step 4: Simplify right side
    61,860x = 7,637,012,100
  5. Step 5: Solve for x
    x = 7,637,012,100/61,860
  6. Step 6: Final answer
    x = 123,456.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.