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Finding the Third Proportional to 12,512 and 19,370

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Solution

The third proportional to 12,512 and 19,370 is: 29,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,512 : 19,370 = 19,370 : x
  2. Step 2: Convert to fraction form
    12,512/19,370 = 19,370/x
  3. Step 3: Cross multiply
    12,512x = 19,370 × 19,370
  4. Step 4: Simplify right side
    12,512x = 375,196,900
  5. Step 5: Solve for x
    x = 375,196,900/12,512
  6. Step 6: Final answer
    x = 29,986.96

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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.