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Finding the Third Proportional to 138,882 and 288,669

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Solution

The third proportional to 138,882 and 288,669 is: 600,004.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,882 : 288,669 = 288,669 : x
  2. Step 2: Convert to fraction form
    138,882/288,669 = 288,669/x
  3. Step 3: Cross multiply
    138,882x = 288,669 × 288,669
  4. Step 4: Simplify right side
    138,882x = 83,329,791,561
  5. Step 5: Solve for x
    x = 83,329,791,561/138,882
  6. Step 6: Final answer
    x = 600,004.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.