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Finding the Third Proportional to 39,871 and 86,348

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Solution

The third proportional to 39,871 and 86,348 is: 187,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,871 : 86,348 = 86,348 : x
  2. Step 2: Convert to fraction form
    39,871/86,348 = 86,348/x
  3. Step 3: Cross multiply
    39,871x = 86,348 × 86,348
  4. Step 4: Simplify right side
    39,871x = 7,455,977,104
  5. Step 5: Solve for x
    x = 7,455,977,104/39,871
  6. Step 6: Final answer
    x = 187,002.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.