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Finding the Third Proportional to 112,635 and 157,470

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Solution

The third proportional to 112,635 and 157,470 is: 220,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,635 : 157,470 = 157,470 : x
  2. Step 2: Convert to fraction form
    112,635/157,470 = 157,470/x
  3. Step 3: Cross multiply
    112,635x = 157,470 × 157,470
  4. Step 4: Simplify right side
    112,635x = 24,796,800,900
  5. Step 5: Solve for x
    x = 24,796,800,900/112,635
  6. Step 6: Final answer
    x = 220,151.83

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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.