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Finding the Third Proportional to 384.50 and 519.88

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Solution

The third proportional to 384.50 and 519.88 is: 702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.50 : 519.88 = 519.88 : x
  2. Step 2: Convert to fraction form
    384.50/519.88 = 519.88/x
  3. Step 3: Cross multiply
    384.50x = 519.88 × 519.88
  4. Step 4: Simplify right side
    384.50x = 270,270.02
  5. Step 5: Solve for x
    x = 270,270.02/384.50
  6. Step 6: Final answer
    x = 702.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.