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Finding the Third Proportional to 12,719 and 27,319

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Solution

The third proportional to 12,719 and 27,319 is: 58,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,719 : 27,319 = 27,319 : x
  2. Step 2: Convert to fraction form
    12,719/27,319 = 27,319/x
  3. Step 3: Cross multiply
    12,719x = 27,319 × 27,319
  4. Step 4: Simplify right side
    12,719x = 746,327,761
  5. Step 5: Solve for x
    x = 746,327,761/12,719
  6. Step 6: Final answer
    x = 58,678.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.