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Finding the Third Proportional to 8,474.63 and 19,657.69

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Solution

The third proportional to 8,474.63 and 19,657.69 is: 45,597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.63 : 19,657.69 = 19,657.69 : x
  2. Step 2: Convert to fraction form
    8,474.63/19,657.69 = 19,657.69/x
  3. Step 3: Cross multiply
    8,474.63x = 19,657.69 × 19,657.69
  4. Step 4: Simplify right side
    8,474.63x = 386,424,677.85
  5. Step 5: Solve for x
    x = 386,424,677.85/8,474.63
  6. Step 6: Final answer
    x = 45,597.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.