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Finding the Third Proportional to 38,702 and 78,468

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Solution

The third proportional to 38,702 and 78,468 is: 159,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,702 : 78,468 = 78,468 : x
  2. Step 2: Convert to fraction form
    38,702/78,468 = 78,468/x
  3. Step 3: Cross multiply
    38,702x = 78,468 × 78,468
  4. Step 4: Simplify right side
    38,702x = 6,157,227,024
  5. Step 5: Solve for x
    x = 6,157,227,024/38,702
  6. Step 6: Final answer
    x = 159,093.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.