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Finding the Third Proportional to 66,238 and 99,979

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Solution

The third proportional to 66,238 and 99,979 is: 150,907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,238 : 99,979 = 99,979 : x
  2. Step 2: Convert to fraction form
    66,238/99,979 = 99,979/x
  3. Step 3: Cross multiply
    66,238x = 99,979 × 99,979
  4. Step 4: Simplify right side
    66,238x = 9,995,800,441
  5. Step 5: Solve for x
    x = 9,995,800,441/66,238
  6. Step 6: Final answer
    x = 150,907.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.