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Finding the Third Proportional to 5,178,950 and 7,840,407

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Solution

The third proportional to 5,178,950 and 7,840,407 is: 11,869,583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178,950 : 7,840,407 = 7,840,407 : x
  2. Step 2: Convert to fraction form
    5,178,950/7,840,407 = 7,840,407/x
  3. Step 3: Cross multiply
    5,178,950x = 7,840,407 × 7,840,407
  4. Step 4: Simplify right side
    5,178,950x = 61,471,981,925,649
  5. Step 5: Solve for x
    x = 61,471,981,925,649/5,178,950
  6. Step 6: Final answer
    x = 11,869,583.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.