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Finding the Third Proportional to 66,414.09 and 143,323.17

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Solution

The third proportional to 66,414.09 and 143,323.17 is: 309,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,414.09 : 143,323.17 = 143,323.17 : x
  2. Step 2: Convert to fraction form
    66,414.09/143,323.17 = 143,323.17/x
  3. Step 3: Cross multiply
    66,414.09x = 143,323.17 × 143,323.17
  4. Step 4: Simplify right side
    66,414.09x = 20,541,531,596.31
  5. Step 5: Solve for x
    x = 20,541,531,596.31/66,414.09
  6. Step 6: Final answer
    x = 309,294.77

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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.