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Finding the Third Proportional to 78,090 and 169,305

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Solution

The third proportional to 78,090 and 169,305 is: 367,065.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,090 : 169,305 = 169,305 : x
  2. Step 2: Convert to fraction form
    78,090/169,305 = 169,305/x
  3. Step 3: Cross multiply
    78,090x = 169,305 × 169,305
  4. Step 4: Simplify right side
    78,090x = 28,664,183,025
  5. Step 5: Solve for x
    x = 28,664,183,025/78,090
  6. Step 6: Final answer
    x = 367,065.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.