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Finding the Third Proportional to 39,984 and 56,280

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Solution

The third proportional to 39,984 and 56,280 is: 79,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,984 : 56,280 = 56,280 : x
  2. Step 2: Convert to fraction form
    39,984/56,280 = 56,280/x
  3. Step 3: Cross multiply
    39,984x = 56,280 × 56,280
  4. Step 4: Simplify right side
    39,984x = 3,167,438,400
  5. Step 5: Solve for x
    x = 3,167,438,400/39,984
  6. Step 6: Final answer
    x = 79,217.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.