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Finding the Third Proportional to 223,824 and 480,777

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Solution

The third proportional to 223,824 and 480,777 is: 1,032,715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,824 : 480,777 = 480,777 : x
  2. Step 2: Convert to fraction form
    223,824/480,777 = 480,777/x
  3. Step 3: Cross multiply
    223,824x = 480,777 × 480,777
  4. Step 4: Simplify right side
    223,824x = 231,146,523,729
  5. Step 5: Solve for x
    x = 231,146,523,729/223,824
  6. Step 6: Final answer
    x = 1,032,715.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.