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Finding the Third Proportional to 384.47 and 618.05

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Solution

The third proportional to 384.47 and 618.05 is: 993.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.47 : 618.05 = 618.05 : x
  2. Step 2: Convert to fraction form
    384.47/618.05 = 618.05/x
  3. Step 3: Cross multiply
    384.47x = 618.05 × 618.05
  4. Step 4: Simplify right side
    384.47x = 381,981.94
  5. Step 5: Solve for x
    x = 381,981.94/384.47
  6. Step 6: Final answer
    x = 993.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.