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Finding the Third Proportional to 129,450 and 282,434

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Solution

The third proportional to 129,450 and 282,434 is: 616,214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,450 : 282,434 = 282,434 : x
  2. Step 2: Convert to fraction form
    129,450/282,434 = 282,434/x
  3. Step 3: Cross multiply
    129,450x = 282,434 × 282,434
  4. Step 4: Simplify right side
    129,450x = 79,768,964,356
  5. Step 5: Solve for x
    x = 79,768,964,356/129,450
  6. Step 6: Final answer
    x = 616,214.48

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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.