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Finding the Third Proportional to 10,109 and 14,476

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Solution

The third proportional to 10,109 and 14,476 is: 20,729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109 : 14,476 = 14,476 : x
  2. Step 2: Convert to fraction form
    10,109/14,476 = 14,476/x
  3. Step 3: Cross multiply
    10,109x = 14,476 × 14,476
  4. Step 4: Simplify right side
    10,109x = 209,554,576
  5. Step 5: Solve for x
    x = 209,554,576/10,109
  6. Step 6: Final answer
    x = 20,729.51

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