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Finding the Third Proportional to 222,440 and 484,048

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Solution

The third proportional to 222,440 and 484,048 is: 1,053,328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,440 : 484,048 = 484,048 : x
  2. Step 2: Convert to fraction form
    222,440/484,048 = 484,048/x
  3. Step 3: Cross multiply
    222,440x = 484,048 × 484,048
  4. Step 4: Simplify right side
    222,440x = 234,302,466,304
  5. Step 5: Solve for x
    x = 234,302,466,304/222,440
  6. Step 6: Final answer
    x = 1,053,328.84

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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.