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Finding the Third Proportional to 129,706 and 282,132

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Solution

The third proportional to 129,706 and 282,132 is: 613,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,706 : 282,132 = 282,132 : x
  2. Step 2: Convert to fraction form
    129,706/282,132 = 282,132/x
  3. Step 3: Cross multiply
    129,706x = 282,132 × 282,132
  4. Step 4: Simplify right side
    129,706x = 79,598,465,424
  5. Step 5: Solve for x
    x = 79,598,465,424/129,706
  6. Step 6: Final answer
    x = 613,683.76

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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.