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Finding the Third Proportional to 36,140 and 78,392

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Solution

The third proportional to 36,140 and 78,392 is: 170,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,140 : 78,392 = 78,392 : x
  2. Step 2: Convert to fraction form
    36,140/78,392 = 78,392/x
  3. Step 3: Cross multiply
    36,140x = 78,392 × 78,392
  4. Step 4: Simplify right side
    36,140x = 6,145,305,664
  5. Step 5: Solve for x
    x = 6,145,305,664/36,140
  6. Step 6: Final answer
    x = 170,041.66

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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.