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Finding the Third Proportional to 910,200,359.25 and 1,997,566,717.50

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Solution

The third proportional to 910,200,359.25 and 1,997,566,717.50 is: 4,383,949,918.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,200,359.25 : 1,997,566,717.50 = 1,997,566,717.50 : x
  2. Step 2: Convert to fraction form
    910,200,359.25/1,997,566,717.50 = 1,997,566,717.50/x
  3. Step 3: Cross multiply
    910,200,359.25x = 1,997,566,717.50 × 1,997,566,717.50
  4. Step 4: Simplify right side
    910,200,359.25x = 3,990,272,790,863,725,056
  5. Step 5: Solve for x
    x = 3,990,272,790,863,725,056/910,200,359.25
  6. Step 6: Final answer
    x = 4,383,949,918.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.