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Finding the Third Proportional to 178,371 and 269,069

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Solution

The third proportional to 178,371 and 269,069 is: 405,885.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,371 : 269,069 = 269,069 : x
  2. Step 2: Convert to fraction form
    178,371/269,069 = 269,069/x
  3. Step 3: Cross multiply
    178,371x = 269,069 × 269,069
  4. Step 4: Simplify right side
    178,371x = 72,398,126,761
  5. Step 5: Solve for x
    x = 72,398,126,761/178,371
  6. Step 6: Final answer
    x = 405,885.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.