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Finding the Third Proportional to 349,722 and 513,105

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Solution

The third proportional to 349,722 and 513,105 is: 752,817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,722 : 513,105 = 513,105 : x
  2. Step 2: Convert to fraction form
    349,722/513,105 = 513,105/x
  3. Step 3: Cross multiply
    349,722x = 513,105 × 513,105
  4. Step 4: Simplify right side
    349,722x = 263,276,741,025
  5. Step 5: Solve for x
    x = 263,276,741,025/349,722
  6. Step 6: Final answer
    x = 752,817.21

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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.