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Finding the Third Proportional to 121,432 and 160,619

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Solution

The third proportional to 121,432 and 160,619 is: 212,451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,432 : 160,619 = 160,619 : x
  2. Step 2: Convert to fraction form
    121,432/160,619 = 160,619/x
  3. Step 3: Cross multiply
    121,432x = 160,619 × 160,619
  4. Step 4: Simplify right side
    121,432x = 25,798,463,161
  5. Step 5: Solve for x
    x = 25,798,463,161/121,432
  6. Step 6: Final answer
    x = 212,451.93

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.