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Finding the Third Proportional to 138,648 and 283,854

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Solution

The third proportional to 138,648 and 283,854 is: 581,134.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,648 : 283,854 = 283,854 : x
  2. Step 2: Convert to fraction form
    138,648/283,854 = 283,854/x
  3. Step 3: Cross multiply
    138,648x = 283,854 × 283,854
  4. Step 4: Simplify right side
    138,648x = 80,573,093,316
  5. Step 5: Solve for x
    x = 80,573,093,316/138,648
  6. Step 6: Final answer
    x = 581,134.19

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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.