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Finding the Third Proportional to 207,628 and 287,621

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Solution

The third proportional to 207,628 and 287,621 is: 398,432.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,628 : 287,621 = 287,621 : x
  2. Step 2: Convert to fraction form
    207,628/287,621 = 287,621/x
  3. Step 3: Cross multiply
    207,628x = 287,621 × 287,621
  4. Step 4: Simplify right side
    207,628x = 82,725,839,641
  5. Step 5: Solve for x
    x = 82,725,839,641/207,628
  6. Step 6: Final answer
    x = 398,432.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.