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Finding the Third Proportional to 218,400 and 463,048

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Solution

The third proportional to 218,400 and 463,048 is: 981,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,400 : 463,048 = 463,048 : x
  2. Step 2: Convert to fraction form
    218,400/463,048 = 463,048/x
  3. Step 3: Cross multiply
    218,400x = 463,048 × 463,048
  4. Step 4: Simplify right side
    218,400x = 214,413,450,304
  5. Step 5: Solve for x
    x = 214,413,450,304/218,400
  6. Step 6: Final answer
    x = 981,746.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.