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Finding the Third Proportional to 66,127 and 99,805

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Solution

The third proportional to 66,127 and 99,805 is: 150,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,127 : 99,805 = 99,805 : x
  2. Step 2: Convert to fraction form
    66,127/99,805 = 99,805/x
  3. Step 3: Cross multiply
    66,127x = 99,805 × 99,805
  4. Step 4: Simplify right side
    66,127x = 9,961,038,025
  5. Step 5: Solve for x
    x = 9,961,038,025/66,127
  6. Step 6: Final answer
    x = 150,634.96

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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.