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Finding the Third Proportional to 20,268,034 and 31,409,909

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Solution

The third proportional to 20,268,034 and 31,409,909 is: 48,676,767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,268,034 : 31,409,909 = 31,409,909 : x
  2. Step 2: Convert to fraction form
    20,268,034/31,409,909 = 31,409,909/x
  3. Step 3: Cross multiply
    20,268,034x = 31,409,909 × 31,409,909
  4. Step 4: Simplify right side
    20,268,034x = 986,582,383,388,281
  5. Step 5: Solve for x
    x = 986,582,383,388,281/20,268,034
  6. Step 6: Final answer
    x = 48,676,767.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.