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Finding the Third Proportional to 129,294 and 274,138

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Solution

The third proportional to 129,294 and 274,138 is: 581,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,294 : 274,138 = 274,138 : x
  2. Step 2: Convert to fraction form
    129,294/274,138 = 274,138/x
  3. Step 3: Cross multiply
    129,294x = 274,138 × 274,138
  4. Step 4: Simplify right side
    129,294x = 75,151,643,044
  5. Step 5: Solve for x
    x = 75,151,643,044/129,294
  6. Step 6: Final answer
    x = 581,246.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.