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Finding the Third Proportional to 266,178 and 367,920

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Solution

The third proportional to 266,178 and 367,920 is: 508,551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,178 : 367,920 = 367,920 : x
  2. Step 2: Convert to fraction form
    266,178/367,920 = 367,920/x
  3. Step 3: Cross multiply
    266,178x = 367,920 × 367,920
  4. Step 4: Simplify right side
    266,178x = 135,365,126,400
  5. Step 5: Solve for x
    x = 135,365,126,400/266,178
  6. Step 6: Final answer
    x = 508,551.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.