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Finding the Third Proportional to 37,477 and 78,415

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Solution

The third proportional to 37,477 and 78,415 is: 164,071.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,477 : 78,415 = 78,415 : x
  2. Step 2: Convert to fraction form
    37,477/78,415 = 78,415/x
  3. Step 3: Cross multiply
    37,477x = 78,415 × 78,415
  4. Step 4: Simplify right side
    37,477x = 6,148,912,225
  5. Step 5: Solve for x
    x = 6,148,912,225/37,477
  6. Step 6: Final answer
    x = 164,071.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.