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Finding the Third Proportional to 666.35 and 1,037.97

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Solution

The third proportional to 666.35 and 1,037.97 is: 1,616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.35 : 1,037.97 = 1,037.97 : x
  2. Step 2: Convert to fraction form
    666.35/1,037.97 = 1,037.97/x
  3. Step 3: Cross multiply
    666.35x = 1,037.97 × 1,037.97
  4. Step 4: Simplify right side
    666.35x = 1,077,383.18
  5. Step 5: Solve for x
    x = 1,077,383.18/666.35
  6. Step 6: Final answer
    x = 1,616.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.