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Finding the Third Proportional to 207,628 and 452,775

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Solution

The third proportional to 207,628 and 452,775 is: 987,367.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,628 : 452,775 = 452,775 : x
  2. Step 2: Convert to fraction form
    207,628/452,775 = 452,775/x
  3. Step 3: Cross multiply
    207,628x = 452,775 × 452,775
  4. Step 4: Simplify right side
    207,628x = 205,005,200,625
  5. Step 5: Solve for x
    x = 205,005,200,625/207,628
  6. Step 6: Final answer
    x = 987,367.80

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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.