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Finding the Third Proportional to 178,194 and 266,415

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Solution

The third proportional to 178,194 and 266,415 is: 398,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,194 : 266,415 = 266,415 : x
  2. Step 2: Convert to fraction form
    178,194/266,415 = 266,415/x
  3. Step 3: Cross multiply
    178,194x = 266,415 × 266,415
  4. Step 4: Simplify right side
    178,194x = 70,976,952,225
  5. Step 5: Solve for x
    x = 70,976,952,225/178,194
  6. Step 6: Final answer
    x = 398,312.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.