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Finding the Third Proportional to 20,864,121 and 31,915,737

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Solution

The third proportional to 20,864,121 and 31,915,737 is: 48,821,336.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,864,121 : 31,915,737 = 31,915,737 : x
  2. Step 2: Convert to fraction form
    20,864,121/31,915,737 = 31,915,737/x
  3. Step 3: Cross multiply
    20,864,121x = 31,915,737 × 31,915,737
  4. Step 4: Simplify right side
    20,864,121x = 1,018,614,268,253,169
  5. Step 5: Solve for x
    x = 1,018,614,268,253,169/20,864,121
  6. Step 6: Final answer
    x = 48,821,336.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.