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Finding the Third Proportional to 65,730 and 102,975

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Solution

The third proportional to 65,730 and 102,975 is: 161,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,730 : 102,975 = 102,975 : x
  2. Step 2: Convert to fraction form
    65,730/102,975 = 102,975/x
  3. Step 3: Cross multiply
    65,730x = 102,975 × 102,975
  4. Step 4: Simplify right side
    65,730x = 10,603,850,625
  5. Step 5: Solve for x
    x = 10,603,850,625/65,730
  6. Step 6: Final answer
    x = 161,324.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.