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Finding the Third Proportional to 60,612 and 129,648

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Solution

The third proportional to 60,612 and 129,648 is: 277,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,612 : 129,648 = 129,648 : x
  2. Step 2: Convert to fraction form
    60,612/129,648 = 129,648/x
  3. Step 3: Cross multiply
    60,612x = 129,648 × 129,648
  4. Step 4: Simplify right side
    60,612x = 16,808,603,904
  5. Step 5: Solve for x
    x = 16,808,603,904/60,612
  6. Step 6: Final answer
    x = 277,314.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.