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Finding the Third Proportional to 20,213,082 and 31,100,320

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Solution

The third proportional to 20,213,082 and 31,100,320 is: 47,851,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213,082 : 31,100,320 = 31,100,320 : x
  2. Step 2: Convert to fraction form
    20,213,082/31,100,320 = 31,100,320/x
  3. Step 3: Cross multiply
    20,213,082x = 31,100,320 × 31,100,320
  4. Step 4: Simplify right side
    20,213,082x = 967,229,904,102,400
  5. Step 5: Solve for x
    x = 967,229,904,102,400/20,213,082
  6. Step 6: Final answer
    x = 47,851,678.64

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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.