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Finding the Third Proportional to 383,170.50 and 520,622.44

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Solution

The third proportional to 383,170.50 and 520,622.44 is: 707,381.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,170.50 : 520,622.44 = 520,622.44 : x
  2. Step 2: Convert to fraction form
    383,170.50/520,622.44 = 520,622.44/x
  3. Step 3: Cross multiply
    383,170.50x = 520,622.44 × 520,622.44
  4. Step 4: Simplify right side
    383,170.50x = 271,047,722,428.44
  5. Step 5: Solve for x
    x = 271,047,722,428.44/383,170.50
  6. Step 6: Final answer
    x = 707,381.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.