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Finding the Third Proportional to 18,657.84 and 28,282.92

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Solution

The third proportional to 18,657.84 and 28,282.92 is: 42,873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657.84 : 28,282.92 = 28,282.92 : x
  2. Step 2: Convert to fraction form
    18,657.84/28,282.92 = 28,282.92/x
  3. Step 3: Cross multiply
    18,657.84x = 28,282.92 × 28,282.92
  4. Step 4: Simplify right side
    18,657.84x = 799,923,669.79
  5. Step 5: Solve for x
    x = 799,923,669.79/18,657.84
  6. Step 6: Final answer
    x = 42,873.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.