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Finding the Third Proportional to 5,178 and 7,415

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Solution

The third proportional to 5,178 and 7,415 is: 10,618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178 : 7,415 = 7,415 : x
  2. Step 2: Convert to fraction form
    5,178/7,415 = 7,415/x
  3. Step 3: Cross multiply
    5,178x = 7,415 × 7,415
  4. Step 4: Simplify right side
    5,178x = 54,982,225
  5. Step 5: Solve for x
    x = 54,982,225/5,178
  6. Step 6: Final answer
    x = 10,618.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.