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Finding the Third Proportional to 77,772 and 115,017

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Solution

The third proportional to 77,772 and 115,017 is: 170,098.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,772 : 115,017 = 115,017 : x
  2. Step 2: Convert to fraction form
    77,772/115,017 = 115,017/x
  3. Step 3: Cross multiply
    77,772x = 115,017 × 115,017
  4. Step 4: Simplify right side
    77,772x = 13,228,910,289
  5. Step 5: Solve for x
    x = 13,228,910,289/77,772
  6. Step 6: Final answer
    x = 170,098.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.