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Finding the Third Proportional to 5,087 and 7,431

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Solution

The third proportional to 5,087 and 7,431 is: 10,855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,087 : 7,431 = 7,431 : x
  2. Step 2: Convert to fraction form
    5,087/7,431 = 7,431/x
  3. Step 3: Cross multiply
    5,087x = 7,431 × 7,431
  4. Step 4: Simplify right side
    5,087x = 55,219,761
  5. Step 5: Solve for x
    x = 55,219,761/5,087
  6. Step 6: Final answer
    x = 10,855.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.