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Finding the Third Proportional to 211,981 and 297,091

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Solution

The third proportional to 211,981 and 297,091 is: 416,372.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,981 : 297,091 = 297,091 : x
  2. Step 2: Convert to fraction form
    211,981/297,091 = 297,091/x
  3. Step 3: Cross multiply
    211,981x = 297,091 × 297,091
  4. Step 4: Simplify right side
    211,981x = 88,263,062,281
  5. Step 5: Solve for x
    x = 88,263,062,281/211,981
  6. Step 6: Final answer
    x = 416,372.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.