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Finding the Third Proportional to 211,980 and 297,108

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Solution

The third proportional to 211,980 and 297,108 is: 416,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,980 : 297,108 = 297,108 : x
  2. Step 2: Convert to fraction form
    211,980/297,108 = 297,108/x
  3. Step 3: Cross multiply
    211,980x = 297,108 × 297,108
  4. Step 4: Simplify right side
    211,980x = 88,273,163,664
  5. Step 5: Solve for x
    x = 88,273,163,664/211,980
  6. Step 6: Final answer
    x = 416,422.13

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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.