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Finding the Third Proportional to 149,569 and 322,619

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Solution

The third proportional to 149,569 and 322,619 is: 695,886.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,569 : 322,619 = 322,619 : x
  2. Step 2: Convert to fraction form
    149,569/322,619 = 322,619/x
  3. Step 3: Cross multiply
    149,569x = 322,619 × 322,619
  4. Step 4: Simplify right side
    149,569x = 104,083,019,161
  5. Step 5: Solve for x
    x = 104,083,019,161/149,569
  6. Step 6: Final answer
    x = 695,886.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.