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Finding the Third Proportional to 287,724.38 and 435,584.06

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Solution

The third proportional to 287,724.38 and 435,584.06 is: 659,427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,724.38 : 435,584.06 = 435,584.06 : x
  2. Step 2: Convert to fraction form
    287,724.38/435,584.06 = 435,584.06/x
  3. Step 3: Cross multiply
    287,724.38x = 435,584.06 × 435,584.06
  4. Step 4: Simplify right side
    287,724.38x = 189,733,475,504.00
  5. Step 5: Solve for x
    x = 189,733,475,504.00/287,724.38
  6. Step 6: Final answer
    x = 659,427.88

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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.