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Finding the Third Proportional to 138,665.25 and 283,901.63

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Solution

The third proportional to 138,665.25 and 283,901.63 is: 581,256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,665.25 : 283,901.63 = 283,901.63 : x
  2. Step 2: Convert to fraction form
    138,665.25/283,901.63 = 283,901.63/x
  3. Step 3: Cross multiply
    138,665.25x = 283,901.63 × 283,901.63
  4. Step 4: Simplify right side
    138,665.25x = 80,600,132,677.64
  5. Step 5: Solve for x
    x = 80,600,132,677.64/138,665.25
  6. Step 6: Final answer
    x = 581,256.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.