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Finding the Third Proportional to 39,620 and 58,251

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Solution

The third proportional to 39,620 and 58,251 is: 85,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,620 : 58,251 = 58,251 : x
  2. Step 2: Convert to fraction form
    39,620/58,251 = 58,251/x
  3. Step 3: Cross multiply
    39,620x = 58,251 × 58,251
  4. Step 4: Simplify right side
    39,620x = 3,393,179,001
  5. Step 5: Solve for x
    x = 3,393,179,001/39,620
  6. Step 6: Final answer
    x = 85,643.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.