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Finding the Third Proportional to 39,598 and 85,387

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Solution

The third proportional to 39,598 and 85,387 is: 184,123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,598 : 85,387 = 85,387 : x
  2. Step 2: Convert to fraction form
    39,598/85,387 = 85,387/x
  3. Step 3: Cross multiply
    39,598x = 85,387 × 85,387
  4. Step 4: Simplify right side
    39,598x = 7,290,939,769
  5. Step 5: Solve for x
    x = 7,290,939,769/39,598
  6. Step 6: Final answer
    x = 184,123.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.