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Finding the Third Proportional to 520.50 and 781.50

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Solution

The third proportional to 520.50 and 781.50 is: 1,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.50 : 781.50 = 781.50 : x
  2. Step 2: Convert to fraction form
    520.50/781.50 = 781.50/x
  3. Step 3: Cross multiply
    520.50x = 781.50 × 781.50
  4. Step 4: Simplify right side
    520.50x = 610,742.25
  5. Step 5: Solve for x
    x = 610,742.25/520.50
  6. Step 6: Final answer
    x = 1,173.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.