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Finding the Third Proportional to 4,120 and 6,431

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Solution

The third proportional to 4,120 and 6,431 is: 10,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120 : 6,431 = 6,431 : x
  2. Step 2: Convert to fraction form
    4,120/6,431 = 6,431/x
  3. Step 3: Cross multiply
    4,120x = 6,431 × 6,431
  4. Step 4: Simplify right side
    4,120x = 41,357,761
  5. Step 5: Solve for x
    x = 41,357,761/4,120
  6. Step 6: Final answer
    x = 10,038.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.