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Finding the Third Proportional to 207,455 and 422,526

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Solution

The third proportional to 207,455 and 422,526 is: 860,563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,455 : 422,526 = 422,526 : x
  2. Step 2: Convert to fraction form
    207,455/422,526 = 422,526/x
  3. Step 3: Cross multiply
    207,455x = 422,526 × 422,526
  4. Step 4: Simplify right side
    207,455x = 178,528,220,676
  5. Step 5: Solve for x
    x = 178,528,220,676/207,455
  6. Step 6: Final answer
    x = 860,563.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.