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Finding the Third Proportional to 80,640 and 121,040

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Solution

The third proportional to 80,640 and 121,040 is: 181,680.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,640 : 121,040 = 121,040 : x
  2. Step 2: Convert to fraction form
    80,640/121,040 = 121,040/x
  3. Step 3: Cross multiply
    80,640x = 121,040 × 121,040
  4. Step 4: Simplify right side
    80,640x = 14,650,681,600
  5. Step 5: Solve for x
    x = 14,650,681,600/80,640
  6. Step 6: Final answer
    x = 181,680.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.