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Finding the Third Proportional to 137,980.13 and 195,250.50

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Solution

The third proportional to 137,980.13 and 195,250.50 is: 276,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,980.13 : 195,250.50 = 195,250.50 : x
  2. Step 2: Convert to fraction form
    137,980.13/195,250.50 = 195,250.50/x
  3. Step 3: Cross multiply
    137,980.13x = 195,250.50 × 195,250.50
  4. Step 4: Simplify right side
    137,980.13x = 38,122,757,750.25
  5. Step 5: Solve for x
    x = 38,122,757,750.25/137,980.13
  6. Step 6: Final answer
    x = 276,291.66

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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.