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Finding the Third Proportional to 183,910 and 281,210

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Solution

The third proportional to 183,910 and 281,210 is: 429,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,910 : 281,210 = 281,210 : x
  2. Step 2: Convert to fraction form
    183,910/281,210 = 281,210/x
  3. Step 3: Cross multiply
    183,910x = 281,210 × 281,210
  4. Step 4: Simplify right side
    183,910x = 79,079,064,100
  5. Step 5: Solve for x
    x = 79,079,064,100/183,910
  6. Step 6: Final answer
    x = 429,987.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.