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Finding the Third Proportional to 20,486.25 and 28,056.38

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Solution

The third proportional to 20,486.25 and 28,056.38 is: 38,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,486.25 : 28,056.38 = 28,056.38 : x
  2. Step 2: Convert to fraction form
    20,486.25/28,056.38 = 28,056.38/x
  3. Step 3: Cross multiply
    20,486.25x = 28,056.38 × 28,056.38
  4. Step 4: Simplify right side
    20,486.25x = 787,160,178.14
  5. Step 5: Solve for x
    x = 787,160,178.14/20,486.25
  6. Step 6: Final answer
    x = 38,423.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.