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Finding the Third Proportional to 155,986 and 319,364

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Solution

The third proportional to 155,986 and 319,364 is: 653,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,986 : 319,364 = 319,364 : x
  2. Step 2: Convert to fraction form
    155,986/319,364 = 319,364/x
  3. Step 3: Cross multiply
    155,986x = 319,364 × 319,364
  4. Step 4: Simplify right side
    155,986x = 101,993,364,496
  5. Step 5: Solve for x
    x = 101,993,364,496/155,986
  6. Step 6: Final answer
    x = 653,862.30

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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.