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Finding the Third Proportional to 149,550 and 322,581

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Solution

The third proportional to 149,550 and 322,581 is: 695,810.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,550 : 322,581 = 322,581 : x
  2. Step 2: Convert to fraction form
    149,550/322,581 = 322,581/x
  3. Step 3: Cross multiply
    149,550x = 322,581 × 322,581
  4. Step 4: Simplify right side
    149,550x = 104,058,501,561
  5. Step 5: Solve for x
    x = 104,058,501,561/149,550
  6. Step 6: Final answer
    x = 695,810.78

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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.