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Finding the Third Proportional to 39,860 and 55,862

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Solution

The third proportional to 39,860 and 55,862 is: 78,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,860 : 55,862 = 55,862 : x
  2. Step 2: Convert to fraction form
    39,860/55,862 = 55,862/x
  3. Step 3: Cross multiply
    39,860x = 55,862 × 55,862
  4. Step 4: Simplify right side
    39,860x = 3,120,563,044
  5. Step 5: Solve for x
    x = 3,120,563,044/39,860
  6. Step 6: Final answer
    x = 78,288.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.