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Finding the Third Proportional to 60,543 and 130,689

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Solution

The third proportional to 60,543 and 130,689 is: 282,107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,543 : 130,689 = 130,689 : x
  2. Step 2: Convert to fraction form
    60,543/130,689 = 130,689/x
  3. Step 3: Cross multiply
    60,543x = 130,689 × 130,689
  4. Step 4: Simplify right side
    60,543x = 17,079,614,721
  5. Step 5: Solve for x
    x = 17,079,614,721/60,543
  6. Step 6: Final answer
    x = 282,107.18

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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.