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Finding the Third Proportional to 39,382 and 56,865

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Solution

The third proportional to 39,382 and 56,865 is: 82,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,382 : 56,865 = 56,865 : x
  2. Step 2: Convert to fraction form
    39,382/56,865 = 56,865/x
  3. Step 3: Cross multiply
    39,382x = 56,865 × 56,865
  4. Step 4: Simplify right side
    39,382x = 3,233,628,225
  5. Step 5: Solve for x
    x = 3,233,628,225/39,382
  6. Step 6: Final answer
    x = 82,109.29

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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.