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Finding the Third Proportional to 207,422 and 455,020

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Solution

The third proportional to 207,422 and 455,020 is: 998,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,422 : 455,020 = 455,020 : x
  2. Step 2: Convert to fraction form
    207,422/455,020 = 455,020/x
  3. Step 3: Cross multiply
    207,422x = 455,020 × 455,020
  4. Step 4: Simplify right side
    207,422x = 207,043,200,400
  5. Step 5: Solve for x
    x = 207,043,200,400/207,422
  6. Step 6: Final answer
    x = 998,173.77

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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.