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Finding the Third Proportional to 20,385 and 49,369.50

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Solution

The third proportional to 20,385 and 49,369.50 is: 119,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,385 : 49,369.50 = 49,369.50 : x
  2. Step 2: Convert to fraction form
    20,385/49,369.50 = 49,369.50/x
  3. Step 3: Cross multiply
    20,385x = 49,369.50 × 49,369.50
  4. Step 4: Simplify right side
    20,385x = 2,437,347,530.25
  5. Step 5: Solve for x
    x = 2,437,347,530.25/20,385
  6. Step 6: Final answer
    x = 119,565.74

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.