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Finding the Third Proportional to 665.44 and 978.94

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Solution

The third proportional to 665.44 and 978.94 is: 1,440.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.44 : 978.94 = 978.94 : x
  2. Step 2: Convert to fraction form
    665.44/978.94 = 978.94/x
  3. Step 3: Cross multiply
    665.44x = 978.94 × 978.94
  4. Step 4: Simplify right side
    665.44x = 958,318.63
  5. Step 5: Solve for x
    x = 958,318.63/665.44
  6. Step 6: Final answer
    x = 1,440.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.