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Finding the Third Proportional to 60,036 and 129,381

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Solution

The third proportional to 60,036 and 129,381 is: 278,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,036 : 129,381 = 129,381 : x
  2. Step 2: Convert to fraction form
    60,036/129,381 = 129,381/x
  3. Step 3: Cross multiply
    60,036x = 129,381 × 129,381
  4. Step 4: Simplify right side
    60,036x = 16,739,443,161
  5. Step 5: Solve for x
    x = 16,739,443,161/60,036
  6. Step 6: Final answer
    x = 278,823.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.