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Finding the Third Proportional to 349,701 and 413,568

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Solution

The third proportional to 349,701 and 413,568 is: 489,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,701 : 413,568 = 413,568 : x
  2. Step 2: Convert to fraction form
    349,701/413,568 = 413,568/x
  3. Step 3: Cross multiply
    349,701x = 413,568 × 413,568
  4. Step 4: Simplify right side
    349,701x = 171,038,490,624
  5. Step 5: Solve for x
    x = 171,038,490,624/349,701
  6. Step 6: Final answer
    x = 489,099.23

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.