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Finding the Third Proportional to 71,338 and 168,706

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Solution

The third proportional to 71,338 and 168,706 is: 398,969.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,338 : 168,706 = 168,706 : x
  2. Step 2: Convert to fraction form
    71,338/168,706 = 168,706/x
  3. Step 3: Cross multiply
    71,338x = 168,706 × 168,706
  4. Step 4: Simplify right side
    71,338x = 28,461,714,436
  5. Step 5: Solve for x
    x = 28,461,714,436/71,338
  6. Step 6: Final answer
    x = 398,969.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.