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Finding the Third Proportional to 132,377,879.81 and 288,591,226.31

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Solution

The third proportional to 132,377,879.81 and 288,591,226.31 is: 629,145,111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,377,879.81 : 288,591,226.31 = 288,591,226.31 : x
  2. Step 2: Convert to fraction form
    132,377,879.81/288,591,226.31 = 288,591,226.31/x
  3. Step 3: Cross multiply
    132,377,879.81x = 288,591,226.31 × 288,591,226.31
  4. Step 4: Simplify right side
    132,377,879.81x = 83,284,895,904,552,592
  5. Step 5: Solve for x
    x = 83,284,895,904,552,592/132,377,879.81
  6. Step 6: Final answer
    x = 629,145,111.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.