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Finding the Third Proportional to 37,190 and 78,206

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Solution

The third proportional to 37,190 and 78,206 is: 164,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,190 : 78,206 = 78,206 : x
  2. Step 2: Convert to fraction form
    37,190/78,206 = 78,206/x
  3. Step 3: Cross multiply
    37,190x = 78,206 × 78,206
  4. Step 4: Simplify right side
    37,190x = 6,116,178,436
  5. Step 5: Solve for x
    x = 6,116,178,436/37,190
  6. Step 6: Final answer
    x = 164,457.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.