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Finding the Third Proportional to 121,434 and 160,622

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Solution

The third proportional to 121,434 and 160,622 is: 212,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,434 : 160,622 = 160,622 : x
  2. Step 2: Convert to fraction form
    121,434/160,622 = 160,622/x
  3. Step 3: Cross multiply
    121,434x = 160,622 × 160,622
  4. Step 4: Simplify right side
    121,434x = 25,799,426,884
  5. Step 5: Solve for x
    x = 25,799,426,884/121,434
  6. Step 6: Final answer
    x = 212,456.37

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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.