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Finding the Third Proportional to 5,306 and 7,447

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Solution

The third proportional to 5,306 and 7,447 is: 10,451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306 : 7,447 = 7,447 : x
  2. Step 2: Convert to fraction form
    5,306/7,447 = 7,447/x
  3. Step 3: Cross multiply
    5,306x = 7,447 × 7,447
  4. Step 4: Simplify right side
    5,306x = 55,457,809
  5. Step 5: Solve for x
    x = 55,457,809/5,306
  6. Step 6: Final answer
    x = 10,451.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.