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Finding the Third Proportional to 108,682.50 and 168,144

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Solution

The third proportional to 108,682.50 and 168,144 is: 260,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,682.50 : 168,144 = 168,144 : x
  2. Step 2: Convert to fraction form
    108,682.50/168,144 = 168,144/x
  3. Step 3: Cross multiply
    108,682.50x = 168,144 × 168,144
  4. Step 4: Simplify right side
    108,682.50x = 28,272,404,736
  5. Step 5: Solve for x
    x = 28,272,404,736/108,682.50
  6. Step 6: Final answer
    x = 260,137.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.