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Finding the Third Proportional to 129,460 and 267,905

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Solution

The third proportional to 129,460 and 267,905 is: 554,403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,460 : 267,905 = 267,905 : x
  2. Step 2: Convert to fraction form
    129,460/267,905 = 267,905/x
  3. Step 3: Cross multiply
    129,460x = 267,905 × 267,905
  4. Step 4: Simplify right side
    129,460x = 71,773,089,025
  5. Step 5: Solve for x
    x = 71,773,089,025/129,460
  6. Step 6: Final answer
    x = 554,403.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.