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Finding the Third Proportional to 157.50 and 240.75

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Solution

The third proportional to 157.50 and 240.75 is: 368.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.50 : 240.75 = 240.75 : x
  2. Step 2: Convert to fraction form
    157.50/240.75 = 240.75/x
  3. Step 3: Cross multiply
    157.50x = 240.75 × 240.75
  4. Step 4: Simplify right side
    157.50x = 57,960.56
  5. Step 5: Solve for x
    x = 57,960.56/157.50
  6. Step 6: Final answer
    x = 368.00

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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.