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Finding the Third Proportional to 60,138 and 129,143.25

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Solution

The third proportional to 60,138 and 129,143.25 is: 277,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,138 : 129,143.25 = 129,143.25 : x
  2. Step 2: Convert to fraction form
    60,138/129,143.25 = 129,143.25/x
  3. Step 3: Cross multiply
    60,138x = 129,143.25 × 129,143.25
  4. Step 4: Simplify right side
    60,138x = 16,677,979,020.56
  5. Step 5: Solve for x
    x = 16,677,979,020.56/60,138
  6. Step 6: Final answer
    x = 277,328.46

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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.