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Finding the Third Proportional to 66,175 and 144,013

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Solution

The third proportional to 66,175 and 144,013 is: 313,407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,175 : 144,013 = 144,013 : x
  2. Step 2: Convert to fraction form
    66,175/144,013 = 144,013/x
  3. Step 3: Cross multiply
    66,175x = 144,013 × 144,013
  4. Step 4: Simplify right side
    66,175x = 20,739,744,169
  5. Step 5: Solve for x
    x = 20,739,744,169/66,175
  6. Step 6: Final answer
    x = 313,407.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.