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Finding the Third Proportional to 211,317 and 498,329

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Solution

The third proportional to 211,317 and 498,329 is: 1,175,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,317 : 498,329 = 498,329 : x
  2. Step 2: Convert to fraction form
    211,317/498,329 = 498,329/x
  3. Step 3: Cross multiply
    211,317x = 498,329 × 498,329
  4. Step 4: Simplify right side
    211,317x = 248,331,792,241
  5. Step 5: Solve for x
    x = 248,331,792,241/211,317
  6. Step 6: Final answer
    x = 1,175,162.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.