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Finding the Third Proportional to 66,288.38 and 143,213.06

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Solution

The third proportional to 66,288.38 and 143,213.06 is: 309,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,288.38 : 143,213.06 = 143,213.06 : x
  2. Step 2: Convert to fraction form
    66,288.38/143,213.06 = 143,213.06/x
  3. Step 3: Cross multiply
    66,288.38x = 143,213.06 × 143,213.06
  4. Step 4: Simplify right side
    66,288.38x = 20,509,981,270.63
  5. Step 5: Solve for x
    x = 20,509,981,270.63/66,288.38
  6. Step 6: Final answer
    x = 309,405.40

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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.