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Finding the Third Proportional to 60,142 and 129,907

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Solution

The third proportional to 60,142 and 129,907 is: 280,599.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,142 : 129,907 = 129,907 : x
  2. Step 2: Convert to fraction form
    60,142/129,907 = 129,907/x
  3. Step 3: Cross multiply
    60,142x = 129,907 × 129,907
  4. Step 4: Simplify right side
    60,142x = 16,875,828,649
  5. Step 5: Solve for x
    x = 16,875,828,649/60,142
  6. Step 6: Final answer
    x = 280,599.72

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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.