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Finding the Third Proportional to 15,428 and 32,400

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Solution

The third proportional to 15,428 and 32,400 is: 68,042.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,428 : 32,400 = 32,400 : x
  2. Step 2: Convert to fraction form
    15,428/32,400 = 32,400/x
  3. Step 3: Cross multiply
    15,428x = 32,400 × 32,400
  4. Step 4: Simplify right side
    15,428x = 1,049,760,000
  5. Step 5: Solve for x
    x = 1,049,760,000/15,428
  6. Step 6: Final answer
    x = 68,042.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.