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Finding the Third Proportional to 58,688 and 129,040

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Solution

The third proportional to 58,688 and 129,040 is: 283,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,688 : 129,040 = 129,040 : x
  2. Step 2: Convert to fraction form
    58,688/129,040 = 129,040/x
  3. Step 3: Cross multiply
    58,688x = 129,040 × 129,040
  4. Step 4: Simplify right side
    58,688x = 16,651,321,600
  5. Step 5: Solve for x
    x = 16,651,321,600/58,688
  6. Step 6: Final answer
    x = 283,726.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.