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Finding the Third Proportional to 122,278.50 and 187,065

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Solution

The third proportional to 122,278.50 and 187,065 is: 286,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,278.50 : 187,065 = 187,065 : x
  2. Step 2: Convert to fraction form
    122,278.50/187,065 = 187,065/x
  3. Step 3: Cross multiply
    122,278.50x = 187,065 × 187,065
  4. Step 4: Simplify right side
    122,278.50x = 34,993,314,225
  5. Step 5: Solve for x
    x = 34,993,314,225/122,278.50
  6. Step 6: Final answer
    x = 286,177.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.