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Finding the Third Proportional to 102,912 and 154,611

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Solution

The third proportional to 102,912 and 154,611 is: 232,281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,912 : 154,611 = 154,611 : x
  2. Step 2: Convert to fraction form
    102,912/154,611 = 154,611/x
  3. Step 3: Cross multiply
    102,912x = 154,611 × 154,611
  4. Step 4: Simplify right side
    102,912x = 23,904,561,321
  5. Step 5: Solve for x
    x = 23,904,561,321/102,912
  6. Step 6: Final answer
    x = 232,281.57

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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.