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Finding the Third Proportional to 154,513 and 198,112

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Solution

The third proportional to 154,513 and 198,112 is: 254,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,513 : 198,112 = 198,112 : x
  2. Step 2: Convert to fraction form
    154,513/198,112 = 198,112/x
  3. Step 3: Cross multiply
    154,513x = 198,112 × 198,112
  4. Step 4: Simplify right side
    154,513x = 39,248,364,544
  5. Step 5: Solve for x
    x = 39,248,364,544/154,513
  6. Step 6: Final answer
    x = 254,013.35

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.