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Finding the Third Proportional to 9,209.32 and 20,323.72

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Solution

The third proportional to 9,209.32 and 20,323.72 is: 44,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.32 : 20,323.72 = 20,323.72 : x
  2. Step 2: Convert to fraction form
    9,209.32/20,323.72 = 20,323.72/x
  3. Step 3: Cross multiply
    9,209.32x = 20,323.72 × 20,323.72
  4. Step 4: Simplify right side
    9,209.32x = 413,053,702.61
  5. Step 5: Solve for x
    x = 413,053,702.61/9,209.32
  6. Step 6: Final answer
    x = 44,851.70

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.