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Finding the Third Proportional to 149,814.84 and 321,864.19

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Solution

The third proportional to 149,814.84 and 321,864.19 is: 691,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,814.84 : 321,864.19 = 321,864.19 : x
  2. Step 2: Convert to fraction form
    149,814.84/321,864.19 = 321,864.19/x
  3. Step 3: Cross multiply
    149,814.84x = 321,864.19 × 321,864.19
  4. Step 4: Simplify right side
    149,814.84x = 103,596,555,195.04
  5. Step 5: Solve for x
    x = 103,596,555,195.04/149,814.84
  6. Step 6: Final answer
    x = 691,497.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.