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Finding the Third Proportional to 20,213,076 and 31,100,311

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Solution

The third proportional to 20,213,076 and 31,100,311 is: 47,851,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213,076 : 31,100,311 = 31,100,311 : x
  2. Step 2: Convert to fraction form
    20,213,076/31,100,311 = 31,100,311/x
  3. Step 3: Cross multiply
    20,213,076x = 31,100,311 × 31,100,311
  4. Step 4: Simplify right side
    20,213,076x = 967,229,344,296,721
  5. Step 5: Solve for x
    x = 967,229,344,296,721/20,213,076
  6. Step 6: Final answer
    x = 47,851,665.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.