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Finding the Third Proportional to 12,897 and 18,058.50

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Solution

The third proportional to 12,897 and 18,058.50 is: 25,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897 : 18,058.50 = 18,058.50 : x
  2. Step 2: Convert to fraction form
    12,897/18,058.50 = 18,058.50/x
  3. Step 3: Cross multiply
    12,897x = 18,058.50 × 18,058.50
  4. Step 4: Simplify right side
    12,897x = 326,109,422.25
  5. Step 5: Solve for x
    x = 326,109,422.25/12,897
  6. Step 6: Final answer
    x = 25,285.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.