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Finding the Third Proportional to 9,120 and 13,534

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Solution

The third proportional to 9,120 and 13,534 is: 20,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120 : 13,534 = 13,534 : x
  2. Step 2: Convert to fraction form
    9,120/13,534 = 13,534/x
  3. Step 3: Cross multiply
    9,120x = 13,534 × 13,534
  4. Step 4: Simplify right side
    9,120x = 183,169,156
  5. Step 5: Solve for x
    x = 183,169,156/9,120
  6. Step 6: Final answer
    x = 20,084.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.