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Finding the Third Proportional to 66,170.25 and 143,457.75

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Solution

The third proportional to 66,170.25 and 143,457.75 is: 311,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,170.25 : 143,457.75 = 143,457.75 : x
  2. Step 2: Convert to fraction form
    66,170.25/143,457.75 = 143,457.75/x
  3. Step 3: Cross multiply
    66,170.25x = 143,457.75 × 143,457.75
  4. Step 4: Simplify right side
    66,170.25x = 20,580,126,035.06
  5. Step 5: Solve for x
    x = 20,580,126,035.06/66,170.25
  6. Step 6: Final answer
    x = 311,017.81

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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.