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Finding the Third Proportional to 315,063.33 and 691,362.66

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Solution

The third proportional to 315,063.33 and 691,362.66 is: 1,517,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,063.33 : 691,362.66 = 691,362.66 : x
  2. Step 2: Convert to fraction form
    315,063.33/691,362.66 = 691,362.66/x
  3. Step 3: Cross multiply
    315,063.33x = 691,362.66 × 691,362.66
  4. Step 4: Simplify right side
    315,063.33x = 477,982,322,457.06
  5. Step 5: Solve for x
    x = 477,982,322,457.06/315,063.33
  6. Step 6: Final answer
    x = 1,517,099.20

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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.