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Finding the Third Proportional to 4,640,665 and 9,966,831

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Solution

The third proportional to 4,640,665 and 9,966,831 is: 21,405,923.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640,665 : 9,966,831 = 9,966,831 : x
  2. Step 2: Convert to fraction form
    4,640,665/9,966,831 = 9,966,831/x
  3. Step 3: Cross multiply
    4,640,665x = 9,966,831 × 9,966,831
  4. Step 4: Simplify right side
    4,640,665x = 99,337,720,182,561
  5. Step 5: Solve for x
    x = 99,337,720,182,561/4,640,665
  6. Step 6: Final answer
    x = 21,405,923.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.