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Finding the Third Proportional to 39,139 and 85,889

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Solution

The third proportional to 39,139 and 85,889 is: 188,480.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,139 : 85,889 = 85,889 : x
  2. Step 2: Convert to fraction form
    39,139/85,889 = 85,889/x
  3. Step 3: Cross multiply
    39,139x = 85,889 × 85,889
  4. Step 4: Simplify right side
    39,139x = 7,376,920,321
  5. Step 5: Solve for x
    x = 7,376,920,321/39,139
  6. Step 6: Final answer
    x = 188,480.04

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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.