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Finding the Third Proportional to 12,700 and 19,859

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Solution

The third proportional to 12,700 and 19,859 is: 31,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700 : 19,859 = 19,859 : x
  2. Step 2: Convert to fraction form
    12,700/19,859 = 19,859/x
  3. Step 3: Cross multiply
    12,700x = 19,859 × 19,859
  4. Step 4: Simplify right side
    12,700x = 394,379,881
  5. Step 5: Solve for x
    x = 394,379,881/12,700
  6. Step 6: Final answer
    x = 31,053.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.