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Finding the Third Proportional to 120,748 and 177,422

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Solution

The third proportional to 120,748 and 177,422 is: 260,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,748 : 177,422 = 177,422 : x
  2. Step 2: Convert to fraction form
    120,748/177,422 = 177,422/x
  3. Step 3: Cross multiply
    120,748x = 177,422 × 177,422
  4. Step 4: Simplify right side
    120,748x = 31,478,566,084
  5. Step 5: Solve for x
    x = 31,478,566,084/120,748
  6. Step 6: Final answer
    x = 260,696.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.