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Finding the Third Proportional to 121,259 and 146,531

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Solution

The third proportional to 121,259 and 146,531 is: 177,070.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,259 : 146,531 = 146,531 : x
  2. Step 2: Convert to fraction form
    121,259/146,531 = 146,531/x
  3. Step 3: Cross multiply
    121,259x = 146,531 × 146,531
  4. Step 4: Simplify right side
    121,259x = 21,471,333,961
  5. Step 5: Solve for x
    x = 21,471,333,961/121,259
  6. Step 6: Final answer
    x = 177,070.02

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.