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Finding the Third Proportional to 20,509,856 and 32,172,720

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Solution

The third proportional to 20,509,856 and 32,172,720 is: 50,467,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509,856 : 32,172,720 = 32,172,720 : x
  2. Step 2: Convert to fraction form
    20,509,856/32,172,720 = 32,172,720/x
  3. Step 3: Cross multiply
    20,509,856x = 32,172,720 × 32,172,720
  4. Step 4: Simplify right side
    20,509,856x = 1,035,083,912,198,400
  5. Step 5: Solve for x
    x = 1,035,083,912,198,400/20,509,856
  6. Step 6: Final answer
    x = 50,467,634.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.