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Finding the Third Proportional to 125.25 and 240.50

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Solution

The third proportional to 125.25 and 240.50 is: 461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.25 : 240.50 = 240.50 : x
  2. Step 2: Convert to fraction form
    125.25/240.50 = 240.50/x
  3. Step 3: Cross multiply
    125.25x = 240.50 × 240.50
  4. Step 4: Simplify right side
    125.25x = 57,840.25
  5. Step 5: Solve for x
    x = 57,840.25/125.25
  6. Step 6: Final answer
    x = 461.80

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.