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Finding the Third Proportional to 9,426 and 22,299

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Solution

The third proportional to 9,426 and 22,299 is: 52,752.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,426 : 22,299 = 22,299 : x
  2. Step 2: Convert to fraction form
    9,426/22,299 = 22,299/x
  3. Step 3: Cross multiply
    9,426x = 22,299 × 22,299
  4. Step 4: Simplify right side
    9,426x = 497,245,401
  5. Step 5: Solve for x
    x = 497,245,401/9,426
  6. Step 6: Final answer
    x = 52,752.54

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.