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Finding the Third Proportional to 216,436 and 462,275

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Solution

The third proportional to 216,436 and 462,275 is: 987,350.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,436 : 462,275 = 462,275 : x
  2. Step 2: Convert to fraction form
    216,436/462,275 = 462,275/x
  3. Step 3: Cross multiply
    216,436x = 462,275 × 462,275
  4. Step 4: Simplify right side
    216,436x = 213,698,175,625
  5. Step 5: Solve for x
    x = 213,698,175,625/216,436
  6. Step 6: Final answer
    x = 987,350.42

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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.