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Finding the Third Proportional to 6,421 and 15,454

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Solution

The third proportional to 6,421 and 15,454 is: 37,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421 : 15,454 = 15,454 : x
  2. Step 2: Convert to fraction form
    6,421/15,454 = 15,454/x
  3. Step 3: Cross multiply
    6,421x = 15,454 × 15,454
  4. Step 4: Simplify right side
    6,421x = 238,826,116
  5. Step 5: Solve for x
    x = 238,826,116/6,421
  6. Step 6: Final answer
    x = 37,194.54

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.