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Finding the Third Proportional to 81,688 and 124,935

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Solution

The third proportional to 81,688 and 124,935 is: 191,077.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,688 : 124,935 = 124,935 : x
  2. Step 2: Convert to fraction form
    81,688/124,935 = 124,935/x
  3. Step 3: Cross multiply
    81,688x = 124,935 × 124,935
  4. Step 4: Simplify right side
    81,688x = 15,608,754,225
  5. Step 5: Solve for x
    x = 15,608,754,225/81,688
  6. Step 6: Final answer
    x = 191,077.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.