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Finding the Third Proportional to 5,420 and 9,809

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Solution

The third proportional to 5,420 and 9,809 is: 17,752.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420 : 9,809 = 9,809 : x
  2. Step 2: Convert to fraction form
    5,420/9,809 = 9,809/x
  3. Step 3: Cross multiply
    5,420x = 9,809 × 9,809
  4. Step 4: Simplify right side
    5,420x = 96,216,481
  5. Step 5: Solve for x
    x = 96,216,481/5,420
  6. Step 6: Final answer
    x = 17,752.12

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.