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Finding the Third Proportional to 12,637.90 and 18,205.07

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Solution

The third proportional to 12,637.90 and 18,205.07 is: 26,224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,637.90 : 18,205.07 = 18,205.07 : x
  2. Step 2: Convert to fraction form
    12,637.90/18,205.07 = 18,205.07/x
  3. Step 3: Cross multiply
    12,637.90x = 18,205.07 × 18,205.07
  4. Step 4: Simplify right side
    12,637.90x = 331,424,442.86
  5. Step 5: Solve for x
    x = 331,424,442.86/12,637.90
  6. Step 6: Final answer
    x = 26,224.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.