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Finding the Third Proportional to 4,218,906 and 9,204,455

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Solution

The third proportional to 4,218,906 and 9,204,455 is: 20,081,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218,906 : 9,204,455 = 9,204,455 : x
  2. Step 2: Convert to fraction form
    4,218,906/9,204,455 = 9,204,455/x
  3. Step 3: Cross multiply
    4,218,906x = 9,204,455 × 9,204,455
  4. Step 4: Simplify right side
    4,218,906x = 84,721,991,847,025
  5. Step 5: Solve for x
    x = 84,721,991,847,025/4,218,906
  6. Step 6: Final answer
    x = 20,081,507.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.