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Finding the Third Proportional to 287,970.75 and 396,960.75

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Solution

The third proportional to 287,970.75 and 396,960.75 is: 547,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,970.75 : 396,960.75 = 396,960.75 : x
  2. Step 2: Convert to fraction form
    287,970.75/396,960.75 = 396,960.75/x
  3. Step 3: Cross multiply
    287,970.75x = 396,960.75 × 396,960.75
  4. Step 4: Simplify right side
    287,970.75x = 157,577,837,040.56
  5. Step 5: Solve for x
    x = 157,577,837,040.56/287,970.75
  6. Step 6: Final answer
    x = 547,200.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.