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Finding the Third Proportional to 378,757,368 and 815,041,584

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Solution

The third proportional to 378,757,368 and 815,041,584 is: 1,753,874,220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,757,368 : 815,041,584 = 815,041,584 : x
  2. Step 2: Convert to fraction form
    378,757,368/815,041,584 = 815,041,584/x
  3. Step 3: Cross multiply
    378,757,368x = 815,041,584 × 815,041,584
  4. Step 4: Simplify right side
    378,757,368x = 664,292,783,649,229,056
  5. Step 5: Solve for x
    x = 664,292,783,649,229,056/378,757,368
  6. Step 6: Final answer
    x = 1,753,874,220.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.