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Finding the Third Proportional to 21,181,936 and 31,744,446

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Solution

The third proportional to 21,181,936 and 31,744,446 is: 47,574,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,181,936 : 31,744,446 = 31,744,446 : x
  2. Step 2: Convert to fraction form
    21,181,936/31,744,446 = 31,744,446/x
  3. Step 3: Cross multiply
    21,181,936x = 31,744,446 × 31,744,446
  4. Step 4: Simplify right side
    21,181,936x = 1,007,709,851,846,916
  5. Step 5: Solve for x
    x = 1,007,709,851,846,916/21,181,936
  6. Step 6: Final answer
    x = 47,574,020.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.