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Finding the Third Proportional to 18,506 and 25,131

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Solution

The third proportional to 18,506 and 25,131 is: 34,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506 : 25,131 = 25,131 : x
  2. Step 2: Convert to fraction form
    18,506/25,131 = 25,131/x
  3. Step 3: Cross multiply
    18,506x = 25,131 × 25,131
  4. Step 4: Simplify right side
    18,506x = 631,567,161
  5. Step 5: Solve for x
    x = 631,567,161/18,506
  6. Step 6: Final answer
    x = 34,127.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.