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Finding the Third Proportional to 378,128,832 and 820,791,984

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Solution

The third proportional to 378,128,832 and 820,791,984 is: 1,781,666,522.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,128,832 : 820,791,984 = 820,791,984 : x
  2. Step 2: Convert to fraction form
    378,128,832/820,791,984 = 820,791,984/x
  3. Step 3: Cross multiply
    378,128,832x = 820,791,984 × 820,791,984
  4. Step 4: Simplify right side
    378,128,832x = 673,699,480,998,656,256
  5. Step 5: Solve for x
    x = 673,699,480,998,656,256/378,128,832
  6. Step 6: Final answer
    x = 1,781,666,522.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.