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Finding the Third Proportional to 155,201,186 and 215,792,751

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Solution

The third proportional to 155,201,186 and 215,792,751 is: 300,039,661.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,201,186 : 215,792,751 = 215,792,751 : x
  2. Step 2: Convert to fraction form
    155,201,186/215,792,751 = 215,792,751/x
  3. Step 3: Cross multiply
    155,201,186x = 215,792,751 × 215,792,751
  4. Step 4: Simplify right side
    155,201,186x = 46,566,511,384,148,000
  5. Step 5: Solve for x
    x = 46,566,511,384,148,000/155,201,186
  6. Step 6: Final answer
    x = 300,039,661.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.