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Finding the Third Proportional to 148,389 and 321,399

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Solution

The third proportional to 148,389 and 321,399 is: 696,125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,389 : 321,399 = 321,399 : x
  2. Step 2: Convert to fraction form
    148,389/321,399 = 321,399/x
  3. Step 3: Cross multiply
    148,389x = 321,399 × 321,399
  4. Step 4: Simplify right side
    148,389x = 103,297,317,201
  5. Step 5: Solve for x
    x = 103,297,317,201/148,389
  6. Step 6: Final answer
    x = 696,125.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.