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Finding the Third Proportional to 368.25 and 781.50

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Solution

The third proportional to 368.25 and 781.50 is: 1,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.25 : 781.50 = 781.50 : x
  2. Step 2: Convert to fraction form
    368.25/781.50 = 781.50/x
  3. Step 3: Cross multiply
    368.25x = 781.50 × 781.50
  4. Step 4: Simplify right side
    368.25x = 610,742.25
  5. Step 5: Solve for x
    x = 610,742.25/368.25
  6. Step 6: Final answer
    x = 1,658.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.