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Finding the Third Proportional to 315,663.33 and 690,375.66

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Solution

The third proportional to 315,663.33 and 690,375.66 is: 1,509,895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,663.33 : 690,375.66 = 690,375.66 : x
  2. Step 2: Convert to fraction form
    315,663.33/690,375.66 = 690,375.66/x
  3. Step 3: Cross multiply
    315,663.33x = 690,375.66 × 690,375.66
  4. Step 4: Simplify right side
    315,663.33x = 476,618,546,742.62
  5. Step 5: Solve for x
    x = 476,618,546,742.62/315,663.33
  6. Step 6: Final answer
    x = 1,509,895.21

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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.