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Finding the Third Proportional to 211,278 and 289,698

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Solution

The third proportional to 211,278 and 289,698 is: 397,225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,278 : 289,698 = 289,698 : x
  2. Step 2: Convert to fraction form
    211,278/289,698 = 289,698/x
  3. Step 3: Cross multiply
    211,278x = 289,698 × 289,698
  4. Step 4: Simplify right side
    211,278x = 83,924,931,204
  5. Step 5: Solve for x
    x = 83,924,931,204/211,278
  6. Step 6: Final answer
    x = 397,225.13

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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.