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Finding the Third Proportional to 20,454,282 and 45,448,867.13

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Solution

The third proportional to 20,454,282 and 45,448,867.13 is: 100,986,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454,282 : 45,448,867.13 = 45,448,867.13 : x
  2. Step 2: Convert to fraction form
    20,454,282/45,448,867.13 = 45,448,867.13/x
  3. Step 3: Cross multiply
    20,454,282x = 45,448,867.13 × 45,448,867.13
  4. Step 4: Simplify right side
    20,454,282x = 2,065,599,522,945,905.75
  5. Step 5: Solve for x
    x = 2,065,599,522,945,905.75/20,454,282
  6. Step 6: Final answer
    x = 100,986,166.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.