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Finding the Third Proportional to 138,295 and 213,586

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Solution

The third proportional to 138,295 and 213,586 is: 329,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,295 : 213,586 = 213,586 : x
  2. Step 2: Convert to fraction form
    138,295/213,586 = 213,586/x
  3. Step 3: Cross multiply
    138,295x = 213,586 × 213,586
  4. Step 4: Simplify right side
    138,295x = 45,618,979,396
  5. Step 5: Solve for x
    x = 45,618,979,396/138,295
  6. Step 6: Final answer
    x = 329,867.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.