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Finding the Third Proportional to 138,643 and 283,841

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Solution

The third proportional to 138,643 and 283,841 is: 581,101.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,643 : 283,841 = 283,841 : x
  2. Step 2: Convert to fraction form
    138,643/283,841 = 283,841/x
  3. Step 3: Cross multiply
    138,643x = 283,841 × 283,841
  4. Step 4: Simplify right side
    138,643x = 80,565,713,281
  5. Step 5: Solve for x
    x = 80,565,713,281/138,643
  6. Step 6: Final answer
    x = 581,101.92

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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.