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Finding the Third Proportional to 39,186 and 85,723

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Solution

The third proportional to 39,186 and 85,723 is: 187,526.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,186 : 85,723 = 85,723 : x
  2. Step 2: Convert to fraction form
    39,186/85,723 = 85,723/x
  3. Step 3: Cross multiply
    39,186x = 85,723 × 85,723
  4. Step 4: Simplify right side
    39,186x = 7,348,432,729
  5. Step 5: Solve for x
    x = 7,348,432,729/39,186
  6. Step 6: Final answer
    x = 187,526.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.