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Finding the Third Proportional to 687.38 and 1,029.38

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Solution

The third proportional to 687.38 and 1,029.38 is: 1,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.38 : 1,029.38 = 1,029.38 : x
  2. Step 2: Convert to fraction form
    687.38/1,029.38 = 1,029.38/x
  3. Step 3: Cross multiply
    687.38x = 1,029.38 × 1,029.38
  4. Step 4: Simplify right side
    687.38x = 1,059,612.89
  5. Step 5: Solve for x
    x = 1,059,612.89/687.38
  6. Step 6: Final answer
    x = 1,541.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.