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Finding the Third Proportional to 207,800 and 453,040

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Solution

The third proportional to 207,800 and 453,040 is: 987,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,800 : 453,040 = 453,040 : x
  2. Step 2: Convert to fraction form
    207,800/453,040 = 453,040/x
  3. Step 3: Cross multiply
    207,800x = 453,040 × 453,040
  4. Step 4: Simplify right side
    207,800x = 205,245,241,600
  5. Step 5: Solve for x
    x = 205,245,241,600/207,800
  6. Step 6: Final answer
    x = 987,705.69

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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.