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Finding the Third Proportional to 668.71 and 1,029.15

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Solution

The third proportional to 668.71 and 1,029.15 is: 1,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.71 : 1,029.15 = 1,029.15 : x
  2. Step 2: Convert to fraction form
    668.71/1,029.15 = 1,029.15/x
  3. Step 3: Cross multiply
    668.71x = 1,029.15 × 1,029.15
  4. Step 4: Simplify right side
    668.71x = 1,059,142.49
  5. Step 5: Solve for x
    x = 1,059,142.49/668.71
  6. Step 6: Final answer
    x = 1,583.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.