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Finding the Third Proportional to 91,491,331.50 and 201,142,953

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Solution

The third proportional to 91,491,331.50 and 201,142,953 is: 442,211,156.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,491,331.50 : 201,142,953 = 201,142,953 : x
  2. Step 2: Convert to fraction form
    91,491,331.50/201,142,953 = 201,142,953/x
  3. Step 3: Cross multiply
    91,491,331.50x = 201,142,953 × 201,142,953
  4. Step 4: Simplify right side
    91,491,331.50x = 40,458,487,541,560,208
  5. Step 5: Solve for x
    x = 40,458,487,541,560,208/91,491,331.50
  6. Step 6: Final answer
    x = 442,211,156.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.