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Finding the Third Proportional to 138,281.63 and 195,839.44

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Solution

The third proportional to 138,281.63 and 195,839.44 is: 277,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,281.63 : 195,839.44 = 195,839.44 : x
  2. Step 2: Convert to fraction form
    138,281.63/195,839.44 = 195,839.44/x
  3. Step 3: Cross multiply
    138,281.63x = 195,839.44 × 195,839.44
  4. Step 4: Simplify right side
    138,281.63x = 38,353,085,280.32
  5. Step 5: Solve for x
    x = 38,353,085,280.32/138,281.63
  6. Step 6: Final answer
    x = 277,354.89

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.