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Finding the Third Proportional to 678,273.75 and 1,079,679.38

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Solution

The third proportional to 678,273.75 and 1,079,679.38 is: 1,718,638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,273.75 : 1,079,679.38 = 1,079,679.38 : x
  2. Step 2: Convert to fraction form
    678,273.75/1,079,679.38 = 1,079,679.38/x
  3. Step 3: Cross multiply
    678,273.75x = 1,079,679.38 × 1,079,679.38
  4. Step 4: Simplify right side
    678,273.75x = 1,165,707,552,800.39
  5. Step 5: Solve for x
    x = 1,165,707,552,800.39/678,273.75
  6. Step 6: Final answer
    x = 1,718,638.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.