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Finding the Third Proportional to 136,791 and 213,489

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Solution

The third proportional to 136,791 and 213,489 is: 333,191.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,791 : 213,489 = 213,489 : x
  2. Step 2: Convert to fraction form
    136,791/213,489 = 213,489/x
  3. Step 3: Cross multiply
    136,791x = 213,489 × 213,489
  4. Step 4: Simplify right side
    136,791x = 45,577,553,121
  5. Step 5: Solve for x
    x = 45,577,553,121/136,791
  6. Step 6: Final answer
    x = 333,191.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.