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Finding the Third Proportional to 66,399 and 99,852

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Solution

The third proportional to 66,399 and 99,852 is: 150,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,399 : 99,852 = 99,852 : x
  2. Step 2: Convert to fraction form
    66,399/99,852 = 99,852/x
  3. Step 3: Cross multiply
    66,399x = 99,852 × 99,852
  4. Step 4: Simplify right side
    66,399x = 9,970,421,904
  5. Step 5: Solve for x
    x = 9,970,421,904/66,399
  6. Step 6: Final answer
    x = 150,159.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.