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Finding the Third Proportional to 100,979 and 212,405

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Solution

The third proportional to 100,979 and 212,405 is: 446,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,979 : 212,405 = 212,405 : x
  2. Step 2: Convert to fraction form
    100,979/212,405 = 212,405/x
  3. Step 3: Cross multiply
    100,979x = 212,405 × 212,405
  4. Step 4: Simplify right side
    100,979x = 45,115,884,025
  5. Step 5: Solve for x
    x = 45,115,884,025/100,979
  6. Step 6: Final answer
    x = 446,784.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.