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Finding the Third Proportional to 9,428,724 and 20,709,189

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Solution

The third proportional to 9,428,724 and 20,709,189 is: 45,485,530.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428,724 : 20,709,189 = 20,709,189 : x
  2. Step 2: Convert to fraction form
    9,428,724/20,709,189 = 20,709,189/x
  3. Step 3: Cross multiply
    9,428,724x = 20,709,189 × 20,709,189
  4. Step 4: Simplify right side
    9,428,724x = 428,870,509,037,721
  5. Step 5: Solve for x
    x = 428,870,509,037,721/9,428,724
  6. Step 6: Final answer
    x = 45,485,530.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.