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Finding the Third Proportional to 168,821.50 and 257,519

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Solution

The third proportional to 168,821.50 and 257,519 is: 392,817.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,821.50 : 257,519 = 257,519 : x
  2. Step 2: Convert to fraction form
    168,821.50/257,519 = 257,519/x
  3. Step 3: Cross multiply
    168,821.50x = 257,519 × 257,519
  4. Step 4: Simplify right side
    168,821.50x = 66,316,035,361
  5. Step 5: Solve for x
    x = 66,316,035,361/168,821.50
  6. Step 6: Final answer
    x = 392,817.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.