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Finding the Third Proportional to 66,366 and 143,288.25

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Solution

The third proportional to 66,366 and 143,288.25 is: 309,368.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,366 : 143,288.25 = 143,288.25 : x
  2. Step 2: Convert to fraction form
    66,366/143,288.25 = 143,288.25/x
  3. Step 3: Cross multiply
    66,366x = 143,288.25 × 143,288.25
  4. Step 4: Simplify right side
    66,366x = 20,531,522,588.06
  5. Step 5: Solve for x
    x = 20,531,522,588.06/66,366
  6. Step 6: Final answer
    x = 309,368.09

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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.