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Finding the Third Proportional to 76,856 and 112,344

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Solution

The third proportional to 76,856 and 112,344 is: 164,218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,856 : 112,344 = 112,344 : x
  2. Step 2: Convert to fraction form
    76,856/112,344 = 112,344/x
  3. Step 3: Cross multiply
    76,856x = 112,344 × 112,344
  4. Step 4: Simplify right side
    76,856x = 12,621,174,336
  5. Step 5: Solve for x
    x = 12,621,174,336/76,856
  6. Step 6: Final answer
    x = 164,218.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.