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Finding the Third Proportional to 13,117.50 and 18,726.75

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Solution

The third proportional to 13,117.50 and 18,726.75 is: 26,734.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.50 : 18,726.75 = 18,726.75 : x
  2. Step 2: Convert to fraction form
    13,117.50/18,726.75 = 18,726.75/x
  3. Step 3: Cross multiply
    13,117.50x = 18,726.75 × 18,726.75
  4. Step 4: Simplify right side
    13,117.50x = 350,691,165.56
  5. Step 5: Solve for x
    x = 350,691,165.56/13,117.50
  6. Step 6: Final answer
    x = 26,734.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.