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Finding the Third Proportional to 13,875 and 30,306

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Solution

The third proportional to 13,875 and 30,306 is: 66,194.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875 : 30,306 = 30,306 : x
  2. Step 2: Convert to fraction form
    13,875/30,306 = 30,306/x
  3. Step 3: Cross multiply
    13,875x = 30,306 × 30,306
  4. Step 4: Simplify right side
    13,875x = 918,453,636
  5. Step 5: Solve for x
    x = 918,453,636/13,875
  6. Step 6: Final answer
    x = 66,194.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.