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Finding the Third Proportional to 126,258 and 292,320

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Solution

The third proportional to 126,258 and 292,320 is: 676,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,258 : 292,320 = 292,320 : x
  2. Step 2: Convert to fraction form
    126,258/292,320 = 292,320/x
  3. Step 3: Cross multiply
    126,258x = 292,320 × 292,320
  4. Step 4: Simplify right side
    126,258x = 85,450,982,400
  5. Step 5: Solve for x
    x = 85,450,982,400/126,258
  6. Step 6: Final answer
    x = 676,796.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.