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Finding the Third Proportional to 66,261.38 and 143,660.25

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Solution

The third proportional to 66,261.38 and 143,660.25 is: 311,467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,261.38 : 143,660.25 = 143,660.25 : x
  2. Step 2: Convert to fraction form
    66,261.38/143,660.25 = 143,660.25/x
  3. Step 3: Cross multiply
    66,261.38x = 143,660.25 × 143,660.25
  4. Step 4: Simplify right side
    66,261.38x = 20,638,267,430.06
  5. Step 5: Solve for x
    x = 20,638,267,430.06/66,261.38
  6. Step 6: Final answer
    x = 311,467.54

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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.