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Finding the Third Proportional to 65,603 and 143,815

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Solution

The third proportional to 65,603 and 143,815 is: 315,271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,603 : 143,815 = 143,815 : x
  2. Step 2: Convert to fraction form
    65,603/143,815 = 143,815/x
  3. Step 3: Cross multiply
    65,603x = 143,815 × 143,815
  4. Step 4: Simplify right side
    65,603x = 20,682,754,225
  5. Step 5: Solve for x
    x = 20,682,754,225/65,603
  6. Step 6: Final answer
    x = 315,271.47

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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.