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Finding the Third Proportional to 65,685 and 142,278

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Solution

The third proportional to 65,685 and 142,278 is: 308,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,685 : 142,278 = 142,278 : x
  2. Step 2: Convert to fraction form
    65,685/142,278 = 142,278/x
  3. Step 3: Cross multiply
    65,685x = 142,278 × 142,278
  4. Step 4: Simplify right side
    65,685x = 20,243,029,284
  5. Step 5: Solve for x
    x = 20,243,029,284/65,685
  6. Step 6: Final answer
    x = 308,183.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.