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Finding the Third Proportional to 414,781,404 and 888,725,710.50

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Solution

The third proportional to 414,781,404 and 888,725,710.50 is: 1,904,216,006.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,781,404 : 888,725,710.50 = 888,725,710.50 : x
  2. Step 2: Convert to fraction form
    414,781,404/888,725,710.50 = 888,725,710.50/x
  3. Step 3: Cross multiply
    414,781,404x = 888,725,710.50 × 888,725,710.50
  4. Step 4: Simplify right side
    414,781,404x = 789,833,388,503,729,792
  5. Step 5: Solve for x
    x = 789,833,388,503,729,792/414,781,404
  6. Step 6: Final answer
    x = 1,904,216,006.04

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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.