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Finding the Third Proportional to 4,347 and 10,253.25

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Solution

The third proportional to 4,347 and 10,253.25 is: 24,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347 : 10,253.25 = 10,253.25 : x
  2. Step 2: Convert to fraction form
    4,347/10,253.25 = 10,253.25/x
  3. Step 3: Cross multiply
    4,347x = 10,253.25 × 10,253.25
  4. Step 4: Simplify right side
    4,347x = 105,129,135.56
  5. Step 5: Solve for x
    x = 105,129,135.56/4,347
  6. Step 6: Final answer
    x = 24,184.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.