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Finding the Third Proportional to 4,206,829 and 9,209,726

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Solution

The third proportional to 4,206,829 and 9,209,726 is: 20,162,229.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206,829 : 9,209,726 = 9,209,726 : x
  2. Step 2: Convert to fraction form
    4,206,829/9,209,726 = 9,209,726/x
  3. Step 3: Cross multiply
    4,206,829x = 9,209,726 × 9,209,726
  4. Step 4: Simplify right side
    4,206,829x = 84,819,052,995,076
  5. Step 5: Solve for x
    x = 84,819,052,995,076/4,206,829
  6. Step 6: Final answer
    x = 20,162,229.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.