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Finding the Third Proportional to 220,824 and 476,640

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Solution

The third proportional to 220,824 and 476,640 is: 1,028,808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,824 : 476,640 = 476,640 : x
  2. Step 2: Convert to fraction form
    220,824/476,640 = 476,640/x
  3. Step 3: Cross multiply
    220,824x = 476,640 × 476,640
  4. Step 4: Simplify right side
    220,824x = 227,185,689,600
  5. Step 5: Solve for x
    x = 227,185,689,600/220,824
  6. Step 6: Final answer
    x = 1,028,808.87

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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.