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Finding the Third Proportional to 205,643 and 476,018

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Solution

The third proportional to 205,643 and 476,018 is: 1,101,876.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,643 : 476,018 = 476,018 : x
  2. Step 2: Convert to fraction form
    205,643/476,018 = 476,018/x
  3. Step 3: Cross multiply
    205,643x = 476,018 × 476,018
  4. Step 4: Simplify right side
    205,643x = 226,593,136,324
  5. Step 5: Solve for x
    x = 226,593,136,324/205,643
  6. Step 6: Final answer
    x = 1,101,876.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.