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Finding the Third Proportional to 13,520 and 15,440

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Solution

The third proportional to 13,520 and 15,440 is: 17,632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,520 : 15,440 = 15,440 : x
  2. Step 2: Convert to fraction form
    13,520/15,440 = 15,440/x
  3. Step 3: Cross multiply
    13,520x = 15,440 × 15,440
  4. Step 4: Simplify right side
    13,520x = 238,393,600
  5. Step 5: Solve for x
    x = 238,393,600/13,520
  6. Step 6: Final answer
    x = 17,632.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.