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Finding the Third Proportional to 20,378,104 and 30,830,081

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Solution

The third proportional to 20,378,104 and 30,830,081 is: 46,642,901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,378,104 : 30,830,081 = 30,830,081 : x
  2. Step 2: Convert to fraction form
    20,378,104/30,830,081 = 30,830,081/x
  3. Step 3: Cross multiply
    20,378,104x = 30,830,081 × 30,830,081
  4. Step 4: Simplify right side
    20,378,104x = 950,493,894,466,561
  5. Step 5: Solve for x
    x = 950,493,894,466,561/20,378,104
  6. Step 6: Final answer
    x = 46,642,901.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.