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Finding the Third Proportional to 678.38 and 1,053

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Solution

The third proportional to 678.38 and 1,053 is: 1,634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.38 : 1,053 = 1,053 : x
  2. Step 2: Convert to fraction form
    678.38/1,053 = 1,053/x
  3. Step 3: Cross multiply
    678.38x = 1,053 × 1,053
  4. Step 4: Simplify right side
    678.38x = 1,108,809
  5. Step 5: Solve for x
    x = 1,108,809/678.38
  6. Step 6: Final answer
    x = 1,634.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.