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Finding the Third Proportional to 200,020 and 426,824

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Solution

The third proportional to 200,020 and 426,824 is: 910,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,020 : 426,824 = 426,824 : x
  2. Step 2: Convert to fraction form
    200,020/426,824 = 426,824/x
  3. Step 3: Cross multiply
    200,020x = 426,824 × 426,824
  4. Step 4: Simplify right side
    200,020x = 182,178,726,976
  5. Step 5: Solve for x
    x = 182,178,726,976/200,020
  6. Step 6: Final answer
    x = 910,802.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.