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Finding the Third Proportional to 319,560.75 and 696,323.25

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Solution

The third proportional to 319,560.75 and 696,323.25 is: 1,517,289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,560.75 : 696,323.25 = 696,323.25 : x
  2. Step 2: Convert to fraction form
    319,560.75/696,323.25 = 696,323.25/x
  3. Step 3: Cross multiply
    319,560.75x = 696,323.25 × 696,323.25
  4. Step 4: Simplify right side
    319,560.75x = 484,866,068,490.56
  5. Step 5: Solve for x
    x = 484,866,068,490.56/319,560.75
  6. Step 6: Final answer
    x = 1,517,289.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.