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Finding the Third Proportional to 66,632 and 144,132

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Solution

The third proportional to 66,632 and 144,132 is: 311,772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,632 : 144,132 = 144,132 : x
  2. Step 2: Convert to fraction form
    66,632/144,132 = 144,132/x
  3. Step 3: Cross multiply
    66,632x = 144,132 × 144,132
  4. Step 4: Simplify right side
    66,632x = 20,774,033,424
  5. Step 5: Solve for x
    x = 20,774,033,424/66,632
  6. Step 6: Final answer
    x = 311,772.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.