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Finding the Third Proportional to 4,370.34 and 9,431.72

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Solution

The third proportional to 4,370.34 and 9,431.72 is: 20,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,370.34 : 9,431.72 = 9,431.72 : x
  2. Step 2: Convert to fraction form
    4,370.34/9,431.72 = 9,431.72/x
  3. Step 3: Cross multiply
    4,370.34x = 9,431.72 × 9,431.72
  4. Step 4: Simplify right side
    4,370.34x = 88,957,318.58
  5. Step 5: Solve for x
    x = 88,957,318.58/4,370.34
  6. Step 6: Final answer
    x = 20,354.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.