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Finding the Third Proportional to 149,338.69 and 322,449.19

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Solution

The third proportional to 149,338.69 and 322,449.19 is: 696,226.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,338.69 : 322,449.19 = 322,449.19 : x
  2. Step 2: Convert to fraction form
    149,338.69/322,449.19 = 322,449.19/x
  3. Step 3: Cross multiply
    149,338.69x = 322,449.19 × 322,449.19
  4. Step 4: Simplify right side
    149,338.69x = 103,973,478,519.41
  5. Step 5: Solve for x
    x = 103,973,478,519.41/149,338.69
  6. Step 6: Final answer
    x = 696,226.01

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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.