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Finding the Third Proportional to 211,442 and 289,947

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Solution

The third proportional to 211,442 and 289,947 is: 397,599.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,442 : 289,947 = 289,947 : x
  2. Step 2: Convert to fraction form
    211,442/289,947 = 289,947/x
  3. Step 3: Cross multiply
    211,442x = 289,947 × 289,947
  4. Step 4: Simplify right side
    211,442x = 84,069,262,809
  5. Step 5: Solve for x
    x = 84,069,262,809/211,442
  6. Step 6: Final answer
    x = 397,599.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.