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Finding the Third Proportional to 148,839 and 321,551.25

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Solution

The third proportional to 148,839 and 321,551.25 is: 694,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,839 : 321,551.25 = 321,551.25 : x
  2. Step 2: Convert to fraction form
    148,839/321,551.25 = 321,551.25/x
  3. Step 3: Cross multiply
    148,839x = 321,551.25 × 321,551.25
  4. Step 4: Simplify right side
    148,839x = 103,395,206,376.56
  5. Step 5: Solve for x
    x = 103,395,206,376.56/148,839
  6. Step 6: Final answer
    x = 694,678.18

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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.