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Finding the Third Proportional to 71,646 and 112,965

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Solution

The third proportional to 71,646 and 112,965 is: 178,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,646 : 112,965 = 112,965 : x
  2. Step 2: Convert to fraction form
    71,646/112,965 = 112,965/x
  3. Step 3: Cross multiply
    71,646x = 112,965 × 112,965
  4. Step 4: Simplify right side
    71,646x = 12,761,091,225
  5. Step 5: Solve for x
    x = 12,761,091,225/71,646
  6. Step 6: Final answer
    x = 178,113.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.