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Finding the Third Proportional to 59,943 and 129,120

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Solution

The third proportional to 59,943 and 129,120 is: 278,130.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,943 : 129,120 = 129,120 : x
  2. Step 2: Convert to fraction form
    59,943/129,120 = 129,120/x
  3. Step 3: Cross multiply
    59,943x = 129,120 × 129,120
  4. Step 4: Simplify right side
    59,943x = 16,671,974,400
  5. Step 5: Solve for x
    x = 16,671,974,400/59,943
  6. Step 6: Final answer
    x = 278,130.46

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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.