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Finding the Third Proportional to 678.38 and 1,018.13

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Solution

The third proportional to 678.38 and 1,018.13 is: 1,528.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.38 : 1,018.13 = 1,018.13 : x
  2. Step 2: Convert to fraction form
    678.38/1,018.13 = 1,018.13/x
  3. Step 3: Cross multiply
    678.38x = 1,018.13 × 1,018.13
  4. Step 4: Simplify right side
    678.38x = 1,036,578.52
  5. Step 5: Solve for x
    x = 1,036,578.52/678.38
  6. Step 6: Final answer
    x = 1,528.03

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Why These Related Problems?

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