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Finding the Third Proportional to 41,876,572 and 92,019,042

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Solution

The third proportional to 41,876,572 and 92,019,042 is: 202,201,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,876,572 : 92,019,042 = 92,019,042 : x
  2. Step 2: Convert to fraction form
    41,876,572/92,019,042 = 92,019,042/x
  3. Step 3: Cross multiply
    41,876,572x = 92,019,042 × 92,019,042
  4. Step 4: Simplify right side
    41,876,572x = 8,467,504,090,597,764
  5. Step 5: Solve for x
    x = 8,467,504,090,597,764/41,876,572
  6. Step 6: Final answer
    x = 202,201,462.21

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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.