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Finding the Third Proportional to 65,511 and 143,013

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Solution

The third proportional to 65,511 and 143,013 is: 312,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,511 : 143,013 = 143,013 : x
  2. Step 2: Convert to fraction form
    65,511/143,013 = 143,013/x
  3. Step 3: Cross multiply
    65,511x = 143,013 × 143,013
  4. Step 4: Simplify right side
    65,511x = 20,452,718,169
  5. Step 5: Solve for x
    x = 20,452,718,169/65,511
  6. Step 6: Final answer
    x = 312,202.81

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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.