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Finding the Third Proportional to 378,414,464 and 815,895,424

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Solution

The third proportional to 378,414,464 and 815,895,424 is: 1,759,143,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,414,464 : 815,895,424 = 815,895,424 : x
  2. Step 2: Convert to fraction form
    378,414,464/815,895,424 = 815,895,424/x
  3. Step 3: Cross multiply
    378,414,464x = 815,895,424 × 815,895,424
  4. Step 4: Simplify right side
    378,414,464x = 665,685,342,904,139,776
  5. Step 5: Solve for x
    x = 665,685,342,904,139,776/378,414,464
  6. Step 6: Final answer
    x = 1,759,143,495.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.