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Finding the Third Proportional to 112,808 and 157,099

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Solution

The third proportional to 112,808 and 157,099 is: 218,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,808 : 157,099 = 157,099 : x
  2. Step 2: Convert to fraction form
    112,808/157,099 = 157,099/x
  3. Step 3: Cross multiply
    112,808x = 157,099 × 157,099
  4. Step 4: Simplify right side
    112,808x = 24,680,095,801
  5. Step 5: Solve for x
    x = 24,680,095,801/112,808
  6. Step 6: Final answer
    x = 218,779.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.