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Finding the Third Proportional to 207,450 and 455,060

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Solution

The third proportional to 207,450 and 455,060 is: 998,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,450 : 455,060 = 455,060 : x
  2. Step 2: Convert to fraction form
    207,450/455,060 = 455,060/x
  3. Step 3: Cross multiply
    207,450x = 455,060 × 455,060
  4. Step 4: Simplify right side
    207,450x = 207,079,603,600
  5. Step 5: Solve for x
    x = 207,079,603,600/207,450
  6. Step 6: Final answer
    x = 998,214.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.