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Finding the Third Proportional to 389.53 and 616.64

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Solution

The third proportional to 389.53 and 616.64 is: 976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.53 : 616.64 = 616.64 : x
  2. Step 2: Convert to fraction form
    389.53/616.64 = 616.64/x
  3. Step 3: Cross multiply
    389.53x = 616.64 × 616.64
  4. Step 4: Simplify right side
    389.53x = 380,245.66
  5. Step 5: Solve for x
    x = 380,245.66/389.53
  6. Step 6: Final answer
    x = 976.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.