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Finding the Third Proportional to 66,471 and 143,505.75

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Solution

The third proportional to 66,471 and 143,505.75 is: 309,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,471 : 143,505.75 = 143,505.75 : x
  2. Step 2: Convert to fraction form
    66,471/143,505.75 = 143,505.75/x
  3. Step 3: Cross multiply
    66,471x = 143,505.75 × 143,505.75
  4. Step 4: Simplify right side
    66,471x = 20,593,900,283.06
  5. Step 5: Solve for x
    x = 20,593,900,283.06/66,471
  6. Step 6: Final answer
    x = 309,817.82

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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.