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Finding the Third Proportional to 77,772 and 115,018

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Solution

The third proportional to 77,772 and 115,018 is: 170,101.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,772 : 115,018 = 115,018 : x
  2. Step 2: Convert to fraction form
    77,772/115,018 = 115,018/x
  3. Step 3: Cross multiply
    77,772x = 115,018 × 115,018
  4. Step 4: Simplify right side
    77,772x = 13,229,140,324
  5. Step 5: Solve for x
    x = 13,229,140,324/77,772
  6. Step 6: Final answer
    x = 170,101.58

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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.