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Finding the Third Proportional to 384.47 and 519.05

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Solution

The third proportional to 384.47 and 519.05 is: 700.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.47 : 519.05 = 519.05 : x
  2. Step 2: Convert to fraction form
    384.47/519.05 = 519.05/x
  3. Step 3: Cross multiply
    384.47x = 519.05 × 519.05
  4. Step 4: Simplify right side
    384.47x = 269,409.66
  5. Step 5: Solve for x
    x = 269,409.66/384.47
  6. Step 6: Final answer
    x = 700.73

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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.