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Finding the Third Proportional to 155,974 and 319,326

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Solution

The third proportional to 155,974 and 319,326 is: 653,757.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,974 : 319,326 = 319,326 : x
  2. Step 2: Convert to fraction form
    155,974/319,326 = 319,326/x
  3. Step 3: Cross multiply
    155,974x = 319,326 × 319,326
  4. Step 4: Simplify right side
    155,974x = 101,969,094,276
  5. Step 5: Solve for x
    x = 101,969,094,276/155,974
  6. Step 6: Final answer
    x = 653,757.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.