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Finding the Third Proportional to 82,160.25 and 168,214.50

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Solution

The third proportional to 82,160.25 and 168,214.50 is: 344,401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,160.25 : 168,214.50 = 168,214.50 : x
  2. Step 2: Convert to fraction form
    82,160.25/168,214.50 = 168,214.50/x
  3. Step 3: Cross multiply
    82,160.25x = 168,214.50 × 168,214.50
  4. Step 4: Simplify right side
    82,160.25x = 28,296,118,010.25
  5. Step 5: Solve for x
    x = 28,296,118,010.25/82,160.25
  6. Step 6: Final answer
    x = 344,401.56

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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.