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Finding the Third Proportional to 92,647,428 and 200,545,288

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Solution

The third proportional to 92,647,428 and 200,545,288 is: 434,101,770.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,647,428 : 200,545,288 = 200,545,288 : x
  2. Step 2: Convert to fraction form
    92,647,428/200,545,288 = 200,545,288/x
  3. Step 3: Cross multiply
    92,647,428x = 200,545,288 × 200,545,288
  4. Step 4: Simplify right side
    92,647,428x = 40,218,412,539,002,944
  5. Step 5: Solve for x
    x = 40,218,412,539,002,944/92,647,428
  6. Step 6: Final answer
    x = 434,101,770.63

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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.