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Finding the Third Proportional to 5,408 and 9,700

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Solution

The third proportional to 5,408 and 9,700 is: 17,398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408 : 9,700 = 9,700 : x
  2. Step 2: Convert to fraction form
    5,408/9,700 = 9,700/x
  3. Step 3: Cross multiply
    5,408x = 9,700 × 9,700
  4. Step 4: Simplify right side
    5,408x = 94,090,000
  5. Step 5: Solve for x
    x = 94,090,000/5,408
  6. Step 6: Final answer
    x = 17,398.30

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.