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Finding the Third Proportional to 71,345 and 168,724

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Solution

The third proportional to 71,345 and 168,724 is: 399,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,345 : 168,724 = 168,724 : x
  2. Step 2: Convert to fraction form
    71,345/168,724 = 168,724/x
  3. Step 3: Cross multiply
    71,345x = 168,724 × 168,724
  4. Step 4: Simplify right side
    71,345x = 28,467,788,176
  5. Step 5: Solve for x
    x = 28,467,788,176/71,345
  6. Step 6: Final answer
    x = 399,015.88

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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.