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Finding the Third Proportional to 36,630 and 78,000

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Solution

The third proportional to 36,630 and 78,000 is: 166,093.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,630 : 78,000 = 78,000 : x
  2. Step 2: Convert to fraction form
    36,630/78,000 = 78,000/x
  3. Step 3: Cross multiply
    36,630x = 78,000 × 78,000
  4. Step 4: Simplify right side
    36,630x = 6,084,000,000
  5. Step 5: Solve for x
    x = 6,084,000,000/36,630
  6. Step 6: Final answer
    x = 166,093.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.