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Finding the Third Proportional to 96,127,150.50 and 148,940,464.50

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Solution

The third proportional to 96,127,150.50 and 148,940,464.50 is: 230,769,994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,127,150.50 : 148,940,464.50 = 148,940,464.50 : x
  2. Step 2: Convert to fraction form
    96,127,150.50/148,940,464.50 = 148,940,464.50/x
  3. Step 3: Cross multiply
    96,127,150.50x = 148,940,464.50 × 148,940,464.50
  4. Step 4: Simplify right side
    96,127,150.50x = 22,183,261,965,475,760
  5. Step 5: Solve for x
    x = 22,183,261,965,475,760/96,127,150.50
  6. Step 6: Final answer
    x = 230,769,994.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.