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Finding the Third Proportional to 129,477 and 282,491

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Solution

The third proportional to 129,477 and 282,491 is: 616,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,477 : 282,491 = 282,491 : x
  2. Step 2: Convert to fraction form
    129,477/282,491 = 282,491/x
  3. Step 3: Cross multiply
    129,477x = 282,491 × 282,491
  4. Step 4: Simplify right side
    129,477x = 79,801,165,081
  5. Step 5: Solve for x
    x = 79,801,165,081/129,477
  6. Step 6: Final answer
    x = 616,334.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.