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Finding the Third Proportional to 155,991 and 319,359

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Solution

The third proportional to 155,991 and 319,359 is: 653,820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,991 : 319,359 = 319,359 : x
  2. Step 2: Convert to fraction form
    155,991/319,359 = 319,359/x
  3. Step 3: Cross multiply
    155,991x = 319,359 × 319,359
  4. Step 4: Simplify right side
    155,991x = 101,990,170,881
  5. Step 5: Solve for x
    x = 101,990,170,881/155,991
  6. Step 6: Final answer
    x = 653,820.87

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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.