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Finding the Third Proportional to 82,430 and 168,775

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Solution

The third proportional to 82,430 and 168,775 is: 345,565.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,430 : 168,775 = 168,775 : x
  2. Step 2: Convert to fraction form
    82,430/168,775 = 168,775/x
  3. Step 3: Cross multiply
    82,430x = 168,775 × 168,775
  4. Step 4: Simplify right side
    82,430x = 28,485,000,625
  5. Step 5: Solve for x
    x = 28,485,000,625/82,430
  6. Step 6: Final answer
    x = 345,565.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.