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Finding the Third Proportional to 221,592 and 480,768

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Solution

The third proportional to 221,592 and 480,768 is: 1,043,078.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,592 : 480,768 = 480,768 : x
  2. Step 2: Convert to fraction form
    221,592/480,768 = 480,768/x
  3. Step 3: Cross multiply
    221,592x = 480,768 × 480,768
  4. Step 4: Simplify right side
    221,592x = 231,137,869,824
  5. Step 5: Solve for x
    x = 231,137,869,824/221,592
  6. Step 6: Final answer
    x = 1,043,078.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.