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Finding the Third Proportional to 112,820 and 157,876

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Solution

The third proportional to 112,820 and 157,876 is: 220,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,820 : 157,876 = 157,876 : x
  2. Step 2: Convert to fraction form
    112,820/157,876 = 157,876/x
  3. Step 3: Cross multiply
    112,820x = 157,876 × 157,876
  4. Step 4: Simplify right side
    112,820x = 24,924,831,376
  5. Step 5: Solve for x
    x = 24,924,831,376/112,820
  6. Step 6: Final answer
    x = 220,925.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.