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Finding the Third Proportional to 421,326 and 901,698

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Solution

The third proportional to 421,326 and 901,698 is: 1,929,762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,326 : 901,698 = 901,698 : x
  2. Step 2: Convert to fraction form
    421,326/901,698 = 901,698/x
  3. Step 3: Cross multiply
    421,326x = 901,698 × 901,698
  4. Step 4: Simplify right side
    421,326x = 813,059,283,204
  5. Step 5: Solve for x
    x = 813,059,283,204/421,326
  6. Step 6: Final answer
    x = 1,929,762.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.