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Finding the Third Proportional to 66,120 and 99,180

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Solution

The third proportional to 66,120 and 99,180 is: 148,770

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,120 : 99,180 = 99,180 : x
  2. Step 2: Convert to fraction form
    66,120/99,180 = 99,180/x
  3. Step 3: Cross multiply
    66,120x = 99,180 × 99,180
  4. Step 4: Simplify right side
    66,120x = 9,836,672,400
  5. Step 5: Solve for x
    x = 9,836,672,400/66,120
  6. Step 6: Final answer
    x = 148,770

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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.