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Finding the Third Proportional to 123,177.75 and 185,315.75

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Solution

The third proportional to 123,177.75 and 185,315.75 is: 278,799.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,177.75 : 185,315.75 = 185,315.75 : x
  2. Step 2: Convert to fraction form
    123,177.75/185,315.75 = 185,315.75/x
  3. Step 3: Cross multiply
    123,177.75x = 185,315.75 × 185,315.75
  4. Step 4: Simplify right side
    123,177.75x = 34,341,927,198.06
  5. Step 5: Solve for x
    x = 34,341,927,198.06/123,177.75
  6. Step 6: Final answer
    x = 278,799.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.