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Finding the Third Proportional to 1,575.70 and 3,424.78

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Solution

The third proportional to 1,575.70 and 3,424.78 is: 7,443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.70 : 3,424.78 = 3,424.78 : x
  2. Step 2: Convert to fraction form
    1,575.70/3,424.78 = 3,424.78/x
  3. Step 3: Cross multiply
    1,575.70x = 3,424.78 × 3,424.78
  4. Step 4: Simplify right side
    1,575.70x = 11,729,126.61
  5. Step 5: Solve for x
    x = 11,729,126.61/1,575.70
  6. Step 6: Final answer
    x = 7,443.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.