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Finding the Third Proportional to 319,961.25 and 691,236

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Solution

The third proportional to 319,961.25 and 691,236 is: 1,493,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,961.25 : 691,236 = 691,236 : x
  2. Step 2: Convert to fraction form
    319,961.25/691,236 = 691,236/x
  3. Step 3: Cross multiply
    319,961.25x = 691,236 × 691,236
  4. Step 4: Simplify right side
    319,961.25x = 477,807,207,696
  5. Step 5: Solve for x
    x = 477,807,207,696/319,961.25
  6. Step 6: Final answer
    x = 1,493,328.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.