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Finding the Third Proportional to 319,919.25 and 691,141.50

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Solution

The third proportional to 319,919.25 and 691,141.50 is: 1,493,116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,919.25 : 691,141.50 = 691,141.50 : x
  2. Step 2: Convert to fraction form
    319,919.25/691,141.50 = 691,141.50/x
  3. Step 3: Cross multiply
    319,919.25x = 691,141.50 × 691,141.50
  4. Step 4: Simplify right side
    319,919.25x = 477,676,573,022.25
  5. Step 5: Solve for x
    x = 477,676,573,022.25/319,919.25
  6. Step 6: Final answer
    x = 1,493,116.07

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