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Finding the Third Proportional to 20,070,170 and 31,899,689

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Solution

The third proportional to 20,070,170 and 31,899,689 is: 50,701,621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,070,170 : 31,899,689 = 31,899,689 : x
  2. Step 2: Convert to fraction form
    20,070,170/31,899,689 = 31,899,689/x
  3. Step 3: Cross multiply
    20,070,170x = 31,899,689 × 31,899,689
  4. Step 4: Simplify right side
    20,070,170x = 1,017,590,158,296,721
  5. Step 5: Solve for x
    x = 1,017,590,158,296,721/20,070,170
  6. Step 6: Final answer
    x = 50,701,621.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.