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Finding the Third Proportional to 291,759 and 628,159

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Solution

The third proportional to 291,759 and 628,159 is: 1,352,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,759 : 628,159 = 628,159 : x
  2. Step 2: Convert to fraction form
    291,759/628,159 = 628,159/x
  3. Step 3: Cross multiply
    291,759x = 628,159 × 628,159
  4. Step 4: Simplify right side
    291,759x = 394,583,729,281
  5. Step 5: Solve for x
    x = 394,583,729,281/291,759
  6. Step 6: Final answer
    x = 1,352,430.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.