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Finding the Third Proportional to 130,689 and 283,503

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Solution

The third proportional to 130,689 and 283,503 is: 615,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,689 : 283,503 = 283,503 : x
  2. Step 2: Convert to fraction form
    130,689/283,503 = 283,503/x
  3. Step 3: Cross multiply
    130,689x = 283,503 × 283,503
  4. Step 4: Simplify right side
    130,689x = 80,373,951,009
  5. Step 5: Solve for x
    x = 80,373,951,009/130,689
  6. Step 6: Final answer
    x = 615,001.65

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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.