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Finding the Third Proportional to 129,486 and 305,231

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Solution

The third proportional to 129,486 and 305,231 is: 719,506.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,486 : 305,231 = 305,231 : x
  2. Step 2: Convert to fraction form
    129,486/305,231 = 305,231/x
  3. Step 3: Cross multiply
    129,486x = 305,231 × 305,231
  4. Step 4: Simplify right side
    129,486x = 93,165,963,361
  5. Step 5: Solve for x
    x = 93,165,963,361/129,486
  6. Step 6: Final answer
    x = 719,506.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.