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Finding the Third Proportional to 83,085,425.50 and 192,327,716.50

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Solution

The third proportional to 83,085,425.50 and 192,327,716.50 is: 445,203,840.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,085,425.50 : 192,327,716.50 = 192,327,716.50 : x
  2. Step 2: Convert to fraction form
    83,085,425.50/192,327,716.50 = 192,327,716.50/x
  3. Step 3: Cross multiply
    83,085,425.50x = 192,327,716.50 × 192,327,716.50
  4. Step 4: Simplify right side
    83,085,425.50x = 36,989,950,534,104,376
  5. Step 5: Solve for x
    x = 36,989,950,534,104,376/83,085,425.50
  6. Step 6: Final answer
    x = 445,203,840.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.