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Finding the Third Proportional to 288,716,854 and 681,342,469

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Solution

The third proportional to 288,716,854 and 681,342,469 is: 1,607,899,066.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,716,854 : 681,342,469 = 681,342,469 : x
  2. Step 2: Convert to fraction form
    288,716,854/681,342,469 = 681,342,469/x
  3. Step 3: Cross multiply
    288,716,854x = 681,342,469 × 681,342,469
  4. Step 4: Simplify right side
    288,716,854x = 464,227,560,063,015,936
  5. Step 5: Solve for x
    x = 464,227,560,063,015,936/288,716,854
  6. Step 6: Final answer
    x = 1,607,899,066.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.