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Finding the Third Proportional to 71,315 and 107,257

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Solution

The third proportional to 71,315 and 107,257 is: 161,313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,315 : 107,257 = 107,257 : x
  2. Step 2: Convert to fraction form
    71,315/107,257 = 107,257/x
  3. Step 3: Cross multiply
    71,315x = 107,257 × 107,257
  4. Step 4: Simplify right side
    71,315x = 11,504,064,049
  5. Step 5: Solve for x
    x = 11,504,064,049/71,315
  6. Step 6: Final answer
    x = 161,313.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.