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Finding the Third Proportional to 315,013.50 and 691,264.13

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Solution

The third proportional to 315,013.50 and 691,264.13 is: 1,516,906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,013.50 : 691,264.13 = 691,264.13 : x
  2. Step 2: Convert to fraction form
    315,013.50/691,264.13 = 691,264.13/x
  3. Step 3: Cross multiply
    315,013.50x = 691,264.13 × 691,264.13
  4. Step 4: Simplify right side
    315,013.50x = 477,846,090,512.02
  5. Step 5: Solve for x
    x = 477,846,090,512.02/315,013.50
  6. Step 6: Final answer
    x = 1,516,906.71

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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.