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Finding the Third Proportional to 315,157.50 and 691,551

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Solution

The third proportional to 315,157.50 and 691,551 is: 1,517,472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,157.50 : 691,551 = 691,551 : x
  2. Step 2: Convert to fraction form
    315,157.50/691,551 = 691,551/x
  3. Step 3: Cross multiply
    315,157.50x = 691,551 × 691,551
  4. Step 4: Simplify right side
    315,157.50x = 478,242,785,601
  5. Step 5: Solve for x
    x = 478,242,785,601/315,157.50
  6. Step 6: Final answer
    x = 1,517,472.33

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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.