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Finding the Third Proportional to 311,256 and 695,088

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Solution

The third proportional to 311,256 and 695,088 is: 1,552,250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,256 : 695,088 = 695,088 : x
  2. Step 2: Convert to fraction form
    311,256/695,088 = 695,088/x
  3. Step 3: Cross multiply
    311,256x = 695,088 × 695,088
  4. Step 4: Simplify right side
    311,256x = 483,147,327,744
  5. Step 5: Solve for x
    x = 483,147,327,744/311,256
  6. Step 6: Final answer
    x = 1,552,250.65

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.