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Finding the Third Proportional to 39,857 and 85,438

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Solution

The third proportional to 39,857 and 85,438 is: 183,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,857 : 85,438 = 85,438 : x
  2. Step 2: Convert to fraction form
    39,857/85,438 = 85,438/x
  3. Step 3: Cross multiply
    39,857x = 85,438 × 85,438
  4. Step 4: Simplify right side
    39,857x = 7,299,651,844
  5. Step 5: Solve for x
    x = 7,299,651,844/39,857
  6. Step 6: Final answer
    x = 183,146.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.