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Finding the Third Proportional to 39,380 and 56,862

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Solution

The third proportional to 39,380 and 56,862 is: 82,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,380 : 56,862 = 56,862 : x
  2. Step 2: Convert to fraction form
    39,380/56,862 = 56,862/x
  3. Step 3: Cross multiply
    39,380x = 56,862 × 56,862
  4. Step 4: Simplify right side
    39,380x = 3,233,287,044
  5. Step 5: Solve for x
    x = 3,233,287,044/39,380
  6. Step 6: Final answer
    x = 82,104.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.