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Finding the Third Proportional to 20,135,810 and 30,205,827

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Solution

The third proportional to 20,135,810 and 30,205,827 is: 45,311,908.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,135,810 : 30,205,827 = 30,205,827 : x
  2. Step 2: Convert to fraction form
    20,135,810/30,205,827 = 30,205,827/x
  3. Step 3: Cross multiply
    20,135,810x = 30,205,827 × 30,205,827
  4. Step 4: Simplify right side
    20,135,810x = 912,391,984,753,929
  5. Step 5: Solve for x
    x = 912,391,984,753,929/20,135,810
  6. Step 6: Final answer
    x = 45,311,908.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.