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Finding the Third Proportional to 384.94 and 610.97

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Solution

The third proportional to 384.94 and 610.97 is: 969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.94 : 610.97 = 610.97 : x
  2. Step 2: Convert to fraction form
    384.94/610.97 = 610.97/x
  3. Step 3: Cross multiply
    384.94x = 610.97 × 610.97
  4. Step 4: Simplify right side
    384.94x = 373,282.81
  5. Step 5: Solve for x
    x = 373,282.81/384.94
  6. Step 6: Final answer
    x = 969.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.