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Finding the Third Proportional to 4,045.50 and 8,708.63

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Solution

The third proportional to 4,045.50 and 8,708.63 is: 18,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,045.50 : 8,708.63 = 8,708.63 : x
  2. Step 2: Convert to fraction form
    4,045.50/8,708.63 = 8,708.63/x
  3. Step 3: Cross multiply
    4,045.50x = 8,708.63 × 8,708.63
  4. Step 4: Simplify right side
    4,045.50x = 75,840,149.39
  5. Step 5: Solve for x
    x = 75,840,149.39/4,045.50
  6. Step 6: Final answer
    x = 18,746.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.