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Finding the Third Proportional to 15,120 and 22,216

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Solution

The third proportional to 15,120 and 22,216 is: 32,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,120 : 22,216 = 22,216 : x
  2. Step 2: Convert to fraction form
    15,120/22,216 = 22,216/x
  3. Step 3: Cross multiply
    15,120x = 22,216 × 22,216
  4. Step 4: Simplify right side
    15,120x = 493,550,656
  5. Step 5: Solve for x
    x = 493,550,656/15,120
  6. Step 6: Final answer
    x = 32,642.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.