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Finding the Third Proportional to 154,194,680 and 211,442,620

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Solution

The third proportional to 154,194,680 and 211,442,620 is: 289,945,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,194,680 : 211,442,620 = 211,442,620 : x
  2. Step 2: Convert to fraction form
    154,194,680/211,442,620 = 211,442,620/x
  3. Step 3: Cross multiply
    154,194,680x = 211,442,620 × 211,442,620
  4. Step 4: Simplify right side
    154,194,680x = 44,707,981,552,464,400
  5. Step 5: Solve for x
    x = 44,707,981,552,464,400/154,194,680
  6. Step 6: Final answer
    x = 289,945,032.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.