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Finding the Third Proportional to 192,253,986 and 297,880,456.50

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Solution

The third proportional to 192,253,986 and 297,880,456.50 is: 461,539,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,253,986 : 297,880,456.50 = 297,880,456.50 : x
  2. Step 2: Convert to fraction form
    192,253,986/297,880,456.50 = 297,880,456.50/x
  3. Step 3: Cross multiply
    192,253,986x = 297,880,456.50 × 297,880,456.50
  4. Step 4: Simplify right side
    192,253,986x = 88,732,766,364,648,400
  5. Step 5: Solve for x
    x = 88,732,766,364,648,400/192,253,986
  6. Step 6: Final answer
    x = 461,539,280.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.