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Finding the Third Proportional to 111,280.50 and 240,381

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Solution

The third proportional to 111,280.50 and 240,381 is: 519,255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,280.50 : 240,381 = 240,381 : x
  2. Step 2: Convert to fraction form
    111,280.50/240,381 = 240,381/x
  3. Step 3: Cross multiply
    111,280.50x = 240,381 × 240,381
  4. Step 4: Simplify right side
    111,280.50x = 57,783,025,161
  5. Step 5: Solve for x
    x = 57,783,025,161/111,280.50
  6. Step 6: Final answer
    x = 519,255.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.