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Finding the Third Proportional to 168,202 and 257,559

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Solution

The third proportional to 168,202 and 257,559 is: 394,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,202 : 257,559 = 257,559 : x
  2. Step 2: Convert to fraction form
    168,202/257,559 = 257,559/x
  3. Step 3: Cross multiply
    168,202x = 257,559 × 257,559
  4. Step 4: Simplify right side
    168,202x = 66,336,638,481
  5. Step 5: Solve for x
    x = 66,336,638,481/168,202
  6. Step 6: Final answer
    x = 394,386.74

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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.