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Finding the Third Proportional to 130,684 and 283,496

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Solution

The third proportional to 130,684 and 283,496 is: 614,994.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,684 : 283,496 = 283,496 : x
  2. Step 2: Convert to fraction form
    130,684/283,496 = 283,496/x
  3. Step 3: Cross multiply
    130,684x = 283,496 × 283,496
  4. Step 4: Simplify right side
    130,684x = 80,369,982,016
  5. Step 5: Solve for x
    x = 80,369,982,016/130,684
  6. Step 6: Final answer
    x = 614,994.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.