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Finding the Third Proportional to 65,815 and 142,137

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Solution

The third proportional to 65,815 and 142,137 is: 306,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,815 : 142,137 = 142,137 : x
  2. Step 2: Convert to fraction form
    65,815/142,137 = 142,137/x
  3. Step 3: Cross multiply
    65,815x = 142,137 × 142,137
  4. Step 4: Simplify right side
    65,815x = 20,202,926,769
  5. Step 5: Solve for x
    x = 20,202,926,769/65,815
  6. Step 6: Final answer
    x = 306,965.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.