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Finding the Third Proportional to 10,428 and 15,274

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Solution

The third proportional to 10,428 and 15,274 is: 22,371.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428 : 15,274 = 15,274 : x
  2. Step 2: Convert to fraction form
    10,428/15,274 = 15,274/x
  3. Step 3: Cross multiply
    10,428x = 15,274 × 15,274
  4. Step 4: Simplify right side
    10,428x = 233,295,076
  5. Step 5: Solve for x
    x = 233,295,076/10,428
  6. Step 6: Final answer
    x = 22,371.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.