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Finding the Third Proportional to 155,969 and 319,314

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Solution

The third proportional to 155,969 and 319,314 is: 653,728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,969 : 319,314 = 319,314 : x
  2. Step 2: Convert to fraction form
    155,969/319,314 = 319,314/x
  3. Step 3: Cross multiply
    155,969x = 319,314 × 319,314
  4. Step 4: Simplify right side
    155,969x = 101,961,430,596
  5. Step 5: Solve for x
    x = 101,961,430,596/155,969
  6. Step 6: Final answer
    x = 653,728.82

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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.