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Finding the Third Proportional to 303,522.19 and 445,441.78

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Solution

The third proportional to 303,522.19 and 445,441.78 is: 653,719.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,522.19 : 445,441.78 = 445,441.78 : x
  2. Step 2: Convert to fraction form
    303,522.19/445,441.78 = 445,441.78/x
  3. Step 3: Cross multiply
    303,522.19x = 445,441.78 × 445,441.78
  4. Step 4: Simplify right side
    303,522.19x = 198,418,380,483.17
  5. Step 5: Solve for x
    x = 198,418,380,483.17/303,522.19
  6. Step 6: Final answer
    x = 653,719.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.