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Finding the Third Proportional to 15,375.50 and 31,471

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Solution

The third proportional to 15,375.50 and 31,471 is: 64,415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,375.50 : 31,471 = 31,471 : x
  2. Step 2: Convert to fraction form
    15,375.50/31,471 = 31,471/x
  3. Step 3: Cross multiply
    15,375.50x = 31,471 × 31,471
  4. Step 4: Simplify right side
    15,375.50x = 990,423,841
  5. Step 5: Solve for x
    x = 990,423,841/15,375.50
  6. Step 6: Final answer
    x = 64,415.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.