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Finding the Third Proportional to 15,748 and 22,020

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Solution

The third proportional to 15,748 and 22,020 is: 30,789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,748 : 22,020 = 22,020 : x
  2. Step 2: Convert to fraction form
    15,748/22,020 = 22,020/x
  3. Step 3: Cross multiply
    15,748x = 22,020 × 22,020
  4. Step 4: Simplify right side
    15,748x = 484,880,400
  5. Step 5: Solve for x
    x = 484,880,400/15,748
  6. Step 6: Final answer
    x = 30,789.97

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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.