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Finding the Third Proportional to 384.47 and 561.80

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Solution

The third proportional to 384.47 and 561.80 is: 820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.47 : 561.80 = 561.80 : x
  2. Step 2: Convert to fraction form
    384.47/561.80 = 561.80/x
  3. Step 3: Cross multiply
    384.47x = 561.80 × 561.80
  4. Step 4: Simplify right side
    384.47x = 315,615.73
  5. Step 5: Solve for x
    x = 315,615.73/384.47
  6. Step 6: Final answer
    x = 820.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.