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Finding the Third Proportional to 36,335 and 78,406

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Solution

The third proportional to 36,335 and 78,406 is: 169,189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,335 : 78,406 = 78,406 : x
  2. Step 2: Convert to fraction form
    36,335/78,406 = 78,406/x
  3. Step 3: Cross multiply
    36,335x = 78,406 × 78,406
  4. Step 4: Simplify right side
    36,335x = 6,147,500,836
  5. Step 5: Solve for x
    x = 6,147,500,836/36,335
  6. Step 6: Final answer
    x = 169,189.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.