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Finding the Third Proportional to 678.38 and 1,012.92

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Solution

The third proportional to 678.38 and 1,012.92 is: 1,512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.38 : 1,012.92 = 1,012.92 : x
  2. Step 2: Convert to fraction form
    678.38/1,012.92 = 1,012.92/x
  3. Step 3: Cross multiply
    678.38x = 1,012.92 × 1,012.92
  4. Step 4: Simplify right side
    678.38x = 1,026,010.72
  5. Step 5: Solve for x
    x = 1,026,010.72/678.38
  6. Step 6: Final answer
    x = 1,512.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.