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Finding the Third Proportional to 5,178,946 and 7,840,379

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Solution

The third proportional to 5,178,946 and 7,840,379 is: 11,869,508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178,946 : 7,840,379 = 7,840,379 : x
  2. Step 2: Convert to fraction form
    5,178,946/7,840,379 = 7,840,379/x
  3. Step 3: Cross multiply
    5,178,946x = 7,840,379 × 7,840,379
  4. Step 4: Simplify right side
    5,178,946x = 61,471,542,863,641
  5. Step 5: Solve for x
    x = 61,471,542,863,641/5,178,946
  6. Step 6: Final answer
    x = 11,869,508.36

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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.