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Finding the Third Proportional to 149,691 and 322,710

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Solution

The third proportional to 149,691 and 322,710 is: 695,711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,691 : 322,710 = 322,710 : x
  2. Step 2: Convert to fraction form
    149,691/322,710 = 322,710/x
  3. Step 3: Cross multiply
    149,691x = 322,710 × 322,710
  4. Step 4: Simplify right side
    149,691x = 104,141,744,100
  5. Step 5: Solve for x
    x = 104,141,744,100/149,691
  6. Step 6: Final answer
    x = 695,711.46

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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.