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Finding the Third Proportional to 12,530 and 19,391

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Solution

The third proportional to 12,530 and 19,391 is: 30,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530 : 19,391 = 19,391 : x
  2. Step 2: Convert to fraction form
    12,530/19,391 = 19,391/x
  3. Step 3: Cross multiply
    12,530x = 19,391 × 19,391
  4. Step 4: Simplify right side
    12,530x = 376,010,881
  5. Step 5: Solve for x
    x = 376,010,881/12,530
  6. Step 6: Final answer
    x = 30,008.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.