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Finding the Third Proportional to 7,210 and 15,649

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Solution

The third proportional to 7,210 and 15,649 is: 33,965.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210 : 15,649 = 15,649 : x
  2. Step 2: Convert to fraction form
    7,210/15,649 = 15,649/x
  3. Step 3: Cross multiply
    7,210x = 15,649 × 15,649
  4. Step 4: Simplify right side
    7,210x = 244,891,201
  5. Step 5: Solve for x
    x = 244,891,201/7,210
  6. Step 6: Final answer
    x = 33,965.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.