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Finding the Third Proportional to 211,979 and 297,097

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Solution

The third proportional to 211,979 and 297,097 is: 416,393.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,979 : 297,097 = 297,097 : x
  2. Step 2: Convert to fraction form
    211,979/297,097 = 297,097/x
  3. Step 3: Cross multiply
    211,979x = 297,097 × 297,097
  4. Step 4: Simplify right side
    211,979x = 88,266,627,409
  5. Step 5: Solve for x
    x = 88,266,627,409/211,979
  6. Step 6: Final answer
    x = 416,393.26

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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.