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Finding the Third Proportional to 15,513 and 22,158

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Solution

The third proportional to 15,513 and 22,158 is: 31,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,513 : 22,158 = 22,158 : x
  2. Step 2: Convert to fraction form
    15,513/22,158 = 22,158/x
  3. Step 3: Cross multiply
    15,513x = 22,158 × 22,158
  4. Step 4: Simplify right side
    15,513x = 490,976,964
  5. Step 5: Solve for x
    x = 490,976,964/15,513
  6. Step 6: Final answer
    x = 31,649.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.