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Finding the Third Proportional to 52,421,775 and 78,178,067.25

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Solution

The third proportional to 52,421,775 and 78,178,067.25 is: 116,589,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,421,775 : 78,178,067.25 = 78,178,067.25 : x
  2. Step 2: Convert to fraction form
    52,421,775/78,178,067.25 = 78,178,067.25/x
  3. Step 3: Cross multiply
    52,421,775x = 78,178,067.25 × 78,178,067.25
  4. Step 4: Simplify right side
    52,421,775x = 6,111,810,198,945,523
  5. Step 5: Solve for x
    x = 6,111,810,198,945,523/52,421,775
  6. Step 6: Final answer
    x = 116,589,150.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.