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Finding the Third Proportional to 207,824 and 449,280

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Solution

The third proportional to 207,824 and 449,280 is: 971,266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,824 : 449,280 = 449,280 : x
  2. Step 2: Convert to fraction form
    207,824/449,280 = 449,280/x
  3. Step 3: Cross multiply
    207,824x = 449,280 × 449,280
  4. Step 4: Simplify right side
    207,824x = 201,852,518,400
  5. Step 5: Solve for x
    x = 201,852,518,400/207,824
  6. Step 6: Final answer
    x = 971,266.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.