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Finding the Third Proportional to 138,681 and 283,935

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Solution

The third proportional to 138,681 and 283,935 is: 581,327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,681 : 283,935 = 283,935 : x
  2. Step 2: Convert to fraction form
    138,681/283,935 = 283,935/x
  3. Step 3: Cross multiply
    138,681x = 283,935 × 283,935
  4. Step 4: Simplify right side
    138,681x = 80,619,084,225
  5. Step 5: Solve for x
    x = 80,619,084,225/138,681
  6. Step 6: Final answer
    x = 581,327.54

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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.