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Finding the Third Proportional to 13,480 and 15,208

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Solution

The third proportional to 13,480 and 15,208 is: 17,157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,480 : 15,208 = 15,208 : x
  2. Step 2: Convert to fraction form
    13,480/15,208 = 15,208/x
  3. Step 3: Cross multiply
    13,480x = 15,208 × 15,208
  4. Step 4: Simplify right side
    13,480x = 231,283,264
  5. Step 5: Solve for x
    x = 231,283,264/13,480
  6. Step 6: Final answer
    x = 17,157.51

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.