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Finding the Third Proportional to 66,435.82 and 143,943.33

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Solution

The third proportional to 66,435.82 and 143,943.33 is: 311,875.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,435.82 : 143,943.33 = 143,943.33 : x
  2. Step 2: Convert to fraction form
    66,435.82/143,943.33 = 143,943.33/x
  3. Step 3: Cross multiply
    66,435.82x = 143,943.33 × 143,943.33
  4. Step 4: Simplify right side
    66,435.82x = 20,719,681,711.70
  5. Step 5: Solve for x
    x = 20,719,681,711.70/66,435.82
  6. Step 6: Final answer
    x = 311,875.15

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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.