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Finding the Third Proportional to 28,320 and 39,620

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Solution

The third proportional to 28,320 and 39,620 is: 55,428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,320 : 39,620 = 39,620 : x
  2. Step 2: Convert to fraction form
    28,320/39,620 = 39,620/x
  3. Step 3: Cross multiply
    28,320x = 39,620 × 39,620
  4. Step 4: Simplify right side
    28,320x = 1,569,744,400
  5. Step 5: Solve for x
    x = 1,569,744,400/28,320
  6. Step 6: Final answer
    x = 55,428.83

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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.