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Finding the Third Proportional to 77,192 and 113,612

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Solution

The third proportional to 77,192 and 113,612 is: 167,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,192 : 113,612 = 113,612 : x
  2. Step 2: Convert to fraction form
    77,192/113,612 = 113,612/x
  3. Step 3: Cross multiply
    77,192x = 113,612 × 113,612
  4. Step 4: Simplify right side
    77,192x = 12,907,686,544
  5. Step 5: Solve for x
    x = 12,907,686,544/77,192
  6. Step 6: Final answer
    x = 167,215.34

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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.