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Finding the Third Proportional to 287,727.75 and 435,589.50

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Solution

The third proportional to 287,727.75 and 435,589.50 is: 659,436.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,727.75 : 435,589.50 = 435,589.50 : x
  2. Step 2: Convert to fraction form
    287,727.75/435,589.50 = 435,589.50/x
  3. Step 3: Cross multiply
    287,727.75x = 435,589.50 × 435,589.50
  4. Step 4: Simplify right side
    287,727.75x = 189,738,212,510.25
  5. Step 5: Solve for x
    x = 189,738,212,510.25/287,727.75
  6. Step 6: Final answer
    x = 659,436.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.