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Finding the Third Proportional to 100,818 and 148,923

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Solution

The third proportional to 100,818 and 148,923 is: 219,981.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,818 : 148,923 = 148,923 : x
  2. Step 2: Convert to fraction form
    100,818/148,923 = 148,923/x
  3. Step 3: Cross multiply
    100,818x = 148,923 × 148,923
  4. Step 4: Simplify right side
    100,818x = 22,178,059,929
  5. Step 5: Solve for x
    x = 22,178,059,929/100,818
  6. Step 6: Final answer
    x = 219,981.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.