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Finding the Third Proportional to 60,357.50 and 129,919

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Solution

The third proportional to 60,357.50 and 129,919 is: 279,649.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,357.50 : 129,919 = 129,919 : x
  2. Step 2: Convert to fraction form
    60,357.50/129,919 = 129,919/x
  3. Step 3: Cross multiply
    60,357.50x = 129,919 × 129,919
  4. Step 4: Simplify right side
    60,357.50x = 16,878,946,561
  5. Step 5: Solve for x
    x = 16,878,946,561/60,357.50
  6. Step 6: Final answer
    x = 279,649.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.