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Finding the Third Proportional to 207,461 and 422,532

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Solution

The third proportional to 207,461 and 422,532 is: 860,563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,461 : 422,532 = 422,532 : x
  2. Step 2: Convert to fraction form
    207,461/422,532 = 422,532/x
  3. Step 3: Cross multiply
    207,461x = 422,532 × 422,532
  4. Step 4: Simplify right side
    207,461x = 178,533,291,024
  5. Step 5: Solve for x
    x = 178,533,291,024/207,461
  6. Step 6: Final answer
    x = 860,563.15

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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.