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Finding the Third Proportional to 15,160 and 19,620

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Solution

The third proportional to 15,160 and 19,620 is: 25,392.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,160 : 19,620 = 19,620 : x
  2. Step 2: Convert to fraction form
    15,160/19,620 = 19,620/x
  3. Step 3: Cross multiply
    15,160x = 19,620 × 19,620
  4. Step 4: Simplify right side
    15,160x = 384,944,400
  5. Step 5: Solve for x
    x = 384,944,400/15,160
  6. Step 6: Final answer
    x = 25,392.11

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.