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Finding the Third Proportional to 66,276 and 143,852

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Solution

The third proportional to 66,276 and 143,852 is: 312,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,276 : 143,852 = 143,852 : x
  2. Step 2: Convert to fraction form
    66,276/143,852 = 143,852/x
  3. Step 3: Cross multiply
    66,276x = 143,852 × 143,852
  4. Step 4: Simplify right side
    66,276x = 20,693,397,904
  5. Step 5: Solve for x
    x = 20,693,397,904/66,276
  6. Step 6: Final answer
    x = 312,230.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.