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Finding the Third Proportional to 37,107 and 78,642

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Solution

The third proportional to 37,107 and 78,642 is: 166,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,107 : 78,642 = 78,642 : x
  2. Step 2: Convert to fraction form
    37,107/78,642 = 78,642/x
  3. Step 3: Cross multiply
    37,107x = 78,642 × 78,642
  4. Step 4: Simplify right side
    37,107x = 6,184,564,164
  5. Step 5: Solve for x
    x = 6,184,564,164/37,107
  6. Step 6: Final answer
    x = 166,668.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.