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Finding the Third Proportional to 222,020 and 484,640

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Solution

The third proportional to 222,020 and 484,640 is: 1,057,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,020 : 484,640 = 484,640 : x
  2. Step 2: Convert to fraction form
    222,020/484,640 = 484,640/x
  3. Step 3: Cross multiply
    222,020x = 484,640 × 484,640
  4. Step 4: Simplify right side
    222,020x = 234,875,929,600
  5. Step 5: Solve for x
    x = 234,875,929,600/222,020
  6. Step 6: Final answer
    x = 1,057,904.38

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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.