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Finding the Third Proportional to 72,778 and 107,119

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Solution

The third proportional to 72,778 and 107,119 is: 157,664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,778 : 107,119 = 107,119 : x
  2. Step 2: Convert to fraction form
    72,778/107,119 = 107,119/x
  3. Step 3: Cross multiply
    72,778x = 107,119 × 107,119
  4. Step 4: Simplify right side
    72,778x = 11,474,480,161
  5. Step 5: Solve for x
    x = 11,474,480,161/72,778
  6. Step 6: Final answer
    x = 157,664.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.