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Finding the Third Proportional to 172,380 and 266,178

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Solution

The third proportional to 172,380 and 266,178 is: 411,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,380 : 266,178 = 266,178 : x
  2. Step 2: Convert to fraction form
    172,380/266,178 = 266,178/x
  3. Step 3: Cross multiply
    172,380x = 266,178 × 266,178
  4. Step 4: Simplify right side
    172,380x = 70,850,727,684
  5. Step 5: Solve for x
    x = 70,850,727,684/172,380
  6. Step 6: Final answer
    x = 411,014.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.