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Finding the Third Proportional to 206,989,015 and 442,697,978

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Solution

The third proportional to 206,989,015 and 442,697,978 is: 946,820,775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,989,015 : 442,697,978 = 442,697,978 : x
  2. Step 2: Convert to fraction form
    206,989,015/442,697,978 = 442,697,978/x
  3. Step 3: Cross multiply
    206,989,015x = 442,697,978 × 442,697,978
  4. Step 4: Simplify right side
    206,989,015x = 195,981,499,725,288,480
  5. Step 5: Solve for x
    x = 195,981,499,725,288,480/206,989,015
  6. Step 6: Final answer
    x = 946,820,775.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.