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Finding the Third Proportional to 221,592 and 483,792

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Solution

The third proportional to 221,592 and 483,792 is: 1,056,241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,592 : 483,792 = 483,792 : x
  2. Step 2: Convert to fraction form
    221,592/483,792 = 483,792/x
  3. Step 3: Cross multiply
    221,592x = 483,792 × 483,792
  4. Step 4: Simplify right side
    221,592x = 234,054,699,264
  5. Step 5: Solve for x
    x = 234,054,699,264/221,592
  6. Step 6: Final answer
    x = 1,056,241.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.