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Finding the Third Proportional to 408,789,456 and 896,721,420

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Solution

The third proportional to 408,789,456 and 896,721,420 is: 1,967,050,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,789,456 : 896,721,420 = 896,721,420 : x
  2. Step 2: Convert to fraction form
    408,789,456/896,721,420 = 896,721,420/x
  3. Step 3: Cross multiply
    408,789,456x = 896,721,420 × 896,721,420
  4. Step 4: Simplify right side
    408,789,456x = 804,109,305,086,816,384
  5. Step 5: Solve for x
    x = 804,109,305,086,816,384/408,789,456
  6. Step 6: Final answer
    x = 1,967,050,013.85

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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.