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Finding the Third Proportional to 9,428 and 13,342

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Solution

The third proportional to 9,428 and 13,342 is: 18,880.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428 : 13,342 = 13,342 : x
  2. Step 2: Convert to fraction form
    9,428/13,342 = 13,342/x
  3. Step 3: Cross multiply
    9,428x = 13,342 × 13,342
  4. Step 4: Simplify right side
    9,428x = 178,008,964
  5. Step 5: Solve for x
    x = 178,008,964/9,428
  6. Step 6: Final answer
    x = 18,880.88

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.