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Finding the Third Proportional to 138,522 and 210,699

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Solution

The third proportional to 138,522 and 210,699 is: 320,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,522 : 210,699 = 210,699 : x
  2. Step 2: Convert to fraction form
    138,522/210,699 = 210,699/x
  3. Step 3: Cross multiply
    138,522x = 210,699 × 210,699
  4. Step 4: Simplify right side
    138,522x = 44,394,068,601
  5. Step 5: Solve for x
    x = 44,394,068,601/138,522
  6. Step 6: Final answer
    x = 320,483.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.