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Finding the Third Proportional to 216,286 and 462,464

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Solution

The third proportional to 216,286 and 462,464 is: 988,843.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,286 : 462,464 = 462,464 : x
  2. Step 2: Convert to fraction form
    216,286/462,464 = 462,464/x
  3. Step 3: Cross multiply
    216,286x = 462,464 × 462,464
  4. Step 4: Simplify right side
    216,286x = 213,872,951,296
  5. Step 5: Solve for x
    x = 213,872,951,296/216,286
  6. Step 6: Final answer
    x = 988,843.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.