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Finding the Third Proportional to 9,300.87 and 20,348.30

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Solution

The third proportional to 9,300.87 and 20,348.30 is: 44,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.87 : 20,348.30 = 20,348.30 : x
  2. Step 2: Convert to fraction form
    9,300.87/20,348.30 = 20,348.30/x
  3. Step 3: Cross multiply
    9,300.87x = 20,348.30 × 20,348.30
  4. Step 4: Simplify right side
    9,300.87x = 414,053,185.71
  5. Step 5: Solve for x
    x = 414,053,185.71/9,300.87
  6. Step 6: Final answer
    x = 44,517.70

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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.