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Finding the Third Proportional to 4,340 and 10,490

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Solution

The third proportional to 4,340 and 10,490 is: 25,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340 : 10,490 = 10,490 : x
  2. Step 2: Convert to fraction form
    4,340/10,490 = 10,490/x
  3. Step 3: Cross multiply
    4,340x = 10,490 × 10,490
  4. Step 4: Simplify right side
    4,340x = 110,040,100
  5. Step 5: Solve for x
    x = 110,040,100/4,340
  6. Step 6: Final answer
    x = 25,354.86

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.