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Finding the Third Proportional to 63,768 and 101,286

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Solution

The third proportional to 63,768 and 101,286 is: 160,877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,768 : 101,286 = 101,286 : x
  2. Step 2: Convert to fraction form
    63,768/101,286 = 101,286/x
  3. Step 3: Cross multiply
    63,768x = 101,286 × 101,286
  4. Step 4: Simplify right side
    63,768x = 10,258,853,796
  5. Step 5: Solve for x
    x = 10,258,853,796/63,768
  6. Step 6: Final answer
    x = 160,877.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.