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Finding the Third Proportional to 20,993,930 and 31,381,598

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Solution

The third proportional to 20,993,930 and 31,381,598 is: 46,909,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993,930 : 31,381,598 = 31,381,598 : x
  2. Step 2: Convert to fraction form
    20,993,930/31,381,598 = 31,381,598/x
  3. Step 3: Cross multiply
    20,993,930x = 31,381,598 × 31,381,598
  4. Step 4: Simplify right side
    20,993,930x = 984,804,693,033,604
  5. Step 5: Solve for x
    x = 984,804,693,033,604/20,993,930
  6. Step 6: Final answer
    x = 46,909,020.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.