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Finding the Third Proportional to 83,643 and 183,918

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Solution

The third proportional to 83,643 and 183,918 is: 404,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,643 : 183,918 = 183,918 : x
  2. Step 2: Convert to fraction form
    83,643/183,918 = 183,918/x
  3. Step 3: Cross multiply
    83,643x = 183,918 × 183,918
  4. Step 4: Simplify right side
    83,643x = 33,825,830,724
  5. Step 5: Solve for x
    x = 33,825,830,724/83,643
  6. Step 6: Final answer
    x = 404,407.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.