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Finding the Third Proportional to 415,991 and 642,326

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Solution

The third proportional to 415,991 and 642,326 is: 991,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,991 : 642,326 = 642,326 : x
  2. Step 2: Convert to fraction form
    415,991/642,326 = 642,326/x
  3. Step 3: Cross multiply
    415,991x = 642,326 × 642,326
  4. Step 4: Simplify right side
    415,991x = 412,582,690,276
  5. Step 5: Solve for x
    x = 412,582,690,276/415,991
  6. Step 6: Final answer
    x = 991,806.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.