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Finding the Third Proportional to 155,643.75 and 240,376.13

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Solution

The third proportional to 155,643.75 and 240,376.13 is: 371,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,643.75 : 240,376.13 = 240,376.13 : x
  2. Step 2: Convert to fraction form
    155,643.75/240,376.13 = 240,376.13/x
  3. Step 3: Cross multiply
    155,643.75x = 240,376.13 × 240,376.13
  4. Step 4: Simplify right side
    155,643.75x = 57,780,681,470.02
  5. Step 5: Solve for x
    x = 57,780,681,470.02/155,643.75
  6. Step 6: Final answer
    x = 371,236.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.