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Finding the Third Proportional to 84,311 and 112,774

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Solution

The third proportional to 84,311 and 112,774 is: 150,845.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,311 : 112,774 = 112,774 : x
  2. Step 2: Convert to fraction form
    84,311/112,774 = 112,774/x
  3. Step 3: Cross multiply
    84,311x = 112,774 × 112,774
  4. Step 4: Simplify right side
    84,311x = 12,717,975,076
  5. Step 5: Solve for x
    x = 12,717,975,076/84,311
  6. Step 6: Final answer
    x = 150,845.98

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.