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Finding the Third Proportional to 20,678,120 and 34,343,724

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Solution

The third proportional to 20,678,120 and 34,343,724 is: 57,040,551.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,678,120 : 34,343,724 = 34,343,724 : x
  2. Step 2: Convert to fraction form
    20,678,120/34,343,724 = 34,343,724/x
  3. Step 3: Cross multiply
    20,678,120x = 34,343,724 × 34,343,724
  4. Step 4: Simplify right side
    20,678,120x = 1,179,491,378,188,176
  5. Step 5: Solve for x
    x = 1,179,491,378,188,176/20,678,120
  6. Step 6: Final answer
    x = 57,040,551.95

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.