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Finding the Third Proportional to 15,872 and 35,792

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Solution

The third proportional to 15,872 and 35,792 is: 80,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872 : 35,792 = 35,792 : x
  2. Step 2: Convert to fraction form
    15,872/35,792 = 35,792/x
  3. Step 3: Cross multiply
    15,872x = 35,792 × 35,792
  4. Step 4: Simplify right side
    15,872x = 1,281,067,264
  5. Step 5: Solve for x
    x = 1,281,067,264/15,872
  6. Step 6: Final answer
    x = 80,712.40

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.