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Finding the Third Proportional to 65,705.87 and 143,850.30

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Solution

The third proportional to 65,705.87 and 143,850.30 is: 314,932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,705.87 : 143,850.30 = 143,850.30 : x
  2. Step 2: Convert to fraction form
    65,705.87/143,850.30 = 143,850.30/x
  3. Step 3: Cross multiply
    65,705.87x = 143,850.30 × 143,850.30
  4. Step 4: Simplify right side
    65,705.87x = 20,692,910,158.69
  5. Step 5: Solve for x
    x = 20,692,910,158.69/65,705.87
  6. Step 6: Final answer
    x = 314,932.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.