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Finding the Third Proportional to 126,076 and 268,840

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Solution

The third proportional to 126,076 and 268,840 is: 573,264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,076 : 268,840 = 268,840 : x
  2. Step 2: Convert to fraction form
    126,076/268,840 = 268,840/x
  3. Step 3: Cross multiply
    126,076x = 268,840 × 268,840
  4. Step 4: Simplify right side
    126,076x = 72,274,945,600
  5. Step 5: Solve for x
    x = 72,274,945,600/126,076
  6. Step 6: Final answer
    x = 573,264.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.