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Finding the Third Proportional to 107,778 and 163,159

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Solution

The third proportional to 107,778 and 163,159 is: 246,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,778 : 163,159 = 163,159 : x
  2. Step 2: Convert to fraction form
    107,778/163,159 = 163,159/x
  3. Step 3: Cross multiply
    107,778x = 163,159 × 163,159
  4. Step 4: Simplify right side
    107,778x = 26,620,859,281
  5. Step 5: Solve for x
    x = 26,620,859,281/107,778
  6. Step 6: Final answer
    x = 246,997.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.