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Finding the Third Proportional to 20,213,184 and 31,100,480

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Solution

The third proportional to 20,213,184 and 31,100,480 is: 47,851,929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213,184 : 31,100,480 = 31,100,480 : x
  2. Step 2: Convert to fraction form
    20,213,184/31,100,480 = 31,100,480/x
  3. Step 3: Cross multiply
    20,213,184x = 31,100,480 × 31,100,480
  4. Step 4: Simplify right side
    20,213,184x = 967,239,856,230,400
  5. Step 5: Solve for x
    x = 967,239,856,230,400/20,213,184
  6. Step 6: Final answer
    x = 47,851,929.52

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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.