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Finding the Third Proportional to 101,760 and 137,088

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Solution

The third proportional to 101,760 and 137,088 is: 184,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,760 : 137,088 = 137,088 : x
  2. Step 2: Convert to fraction form
    101,760/137,088 = 137,088/x
  3. Step 3: Cross multiply
    101,760x = 137,088 × 137,088
  4. Step 4: Simplify right side
    101,760x = 18,793,119,744
  5. Step 5: Solve for x
    x = 18,793,119,744/101,760
  6. Step 6: Final answer
    x = 184,680.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.