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Finding the Third Proportional to 138,909 and 210,301

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Solution

The third proportional to 138,909 and 210,301 is: 318,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,909 : 210,301 = 210,301 : x
  2. Step 2: Convert to fraction form
    138,909/210,301 = 210,301/x
  3. Step 3: Cross multiply
    138,909x = 210,301 × 210,301
  4. Step 4: Simplify right side
    138,909x = 44,226,510,601
  5. Step 5: Solve for x
    x = 44,226,510,601/138,909
  6. Step 6: Final answer
    x = 318,384.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.