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Finding the Third Proportional to 4,577 and 10,044.75

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Solution

The third proportional to 4,577 and 10,044.75 is: 22,044.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577 : 10,044.75 = 10,044.75 : x
  2. Step 2: Convert to fraction form
    4,577/10,044.75 = 10,044.75/x
  3. Step 3: Cross multiply
    4,577x = 10,044.75 × 10,044.75
  4. Step 4: Simplify right side
    4,577x = 100,897,002.56
  5. Step 5: Solve for x
    x = 100,897,002.56/4,577
  6. Step 6: Final answer
    x = 22,044.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.