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Finding the Third Proportional to 320,103.14 and 669,780.14

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Solution

The third proportional to 320,103.14 and 669,780.14 is: 1,401,440.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,103.14 : 669,780.14 = 669,780.14 : x
  2. Step 2: Convert to fraction form
    320,103.14/669,780.14 = 669,780.14/x
  3. Step 3: Cross multiply
    320,103.14x = 669,780.14 × 669,780.14
  4. Step 4: Simplify right side
    320,103.14x = 448,605,436,775.65
  5. Step 5: Solve for x
    x = 448,605,436,775.65/320,103.14
  6. Step 6: Final answer
    x = 1,401,440.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.