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Finding the Third Proportional to 99,072 and 212,967

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Solution

The third proportional to 99,072 and 212,967 is: 457,797.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,072 : 212,967 = 212,967 : x
  2. Step 2: Convert to fraction form
    99,072/212,967 = 212,967/x
  3. Step 3: Cross multiply
    99,072x = 212,967 × 212,967
  4. Step 4: Simplify right side
    99,072x = 45,354,943,089
  5. Step 5: Solve for x
    x = 45,354,943,089/99,072
  6. Step 6: Final answer
    x = 457,797.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.