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Finding the Third Proportional to 60,640 and 129,704

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Solution

The third proportional to 60,640 and 129,704 is: 277,426.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,640 : 129,704 = 129,704 : x
  2. Step 2: Convert to fraction form
    60,640/129,704 = 129,704/x
  3. Step 3: Cross multiply
    60,640x = 129,704 × 129,704
  4. Step 4: Simplify right side
    60,640x = 16,823,127,616
  5. Step 5: Solve for x
    x = 16,823,127,616/60,640
  6. Step 6: Final answer
    x = 277,426.25

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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.