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Finding the Third Proportional to 315,039.38 and 691,318.13

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Solution

The third proportional to 315,039.38 and 691,318.13 is: 1,517,019.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,039.38 : 691,318.13 = 691,318.13 : x
  2. Step 2: Convert to fraction form
    315,039.38/691,318.13 = 691,318.13/x
  3. Step 3: Cross multiply
    315,039.38x = 691,318.13 × 691,318.13
  4. Step 4: Simplify right side
    315,039.38x = 477,920,749,953.52
  5. Step 5: Solve for x
    x = 477,920,749,953.52/315,039.38
  6. Step 6: Final answer
    x = 1,517,019.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.