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Finding the Third Proportional to 149,607 and 322,991

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Solution

The third proportional to 149,607 and 322,991 is: 697,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,607 : 322,991 = 322,991 : x
  2. Step 2: Convert to fraction form
    149,607/322,991 = 322,991/x
  3. Step 3: Cross multiply
    149,607x = 322,991 × 322,991
  4. Step 4: Simplify right side
    149,607x = 104,323,186,081
  5. Step 5: Solve for x
    x = 104,323,186,081/149,607
  6. Step 6: Final answer
    x = 697,314.87

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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.