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Finding the Third Proportional to 23,476 and 51,401

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Solution

The third proportional to 23,476 and 51,401 is: 112,543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,476 : 51,401 = 51,401 : x
  2. Step 2: Convert to fraction form
    23,476/51,401 = 51,401/x
  3. Step 3: Cross multiply
    23,476x = 51,401 × 51,401
  4. Step 4: Simplify right side
    23,476x = 2,642,062,801
  5. Step 5: Solve for x
    x = 2,642,062,801/23,476
  6. Step 6: Final answer
    x = 112,543.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.