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Finding the Third Proportional to 149,578 and 322,636

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Solution

The third proportional to 149,578 and 322,636 is: 695,917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,578 : 322,636 = 322,636 : x
  2. Step 2: Convert to fraction form
    149,578/322,636 = 322,636/x
  3. Step 3: Cross multiply
    149,578x = 322,636 × 322,636
  4. Step 4: Simplify right side
    149,578x = 104,093,988,496
  5. Step 5: Solve for x
    x = 104,093,988,496/149,578
  6. Step 6: Final answer
    x = 695,917.77

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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.