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Finding the Third Proportional to 149,867.63 and 320,991

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Solution

The third proportional to 149,867.63 and 320,991 is: 687,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,867.63 : 320,991 = 320,991 : x
  2. Step 2: Convert to fraction form
    149,867.63/320,991 = 320,991/x
  3. Step 3: Cross multiply
    149,867.63x = 320,991 × 320,991
  4. Step 4: Simplify right side
    149,867.63x = 103,035,222,081
  5. Step 5: Solve for x
    x = 103,035,222,081/149,867.63
  6. Step 6: Final answer
    x = 687,508.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.