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Finding the Third Proportional to 30,443 and 65,089

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Solution

The third proportional to 30,443 and 65,089 is: 139,164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,443 : 65,089 = 65,089 : x
  2. Step 2: Convert to fraction form
    30,443/65,089 = 65,089/x
  3. Step 3: Cross multiply
    30,443x = 65,089 × 65,089
  4. Step 4: Simplify right side
    30,443x = 4,236,577,921
  5. Step 5: Solve for x
    x = 4,236,577,921/30,443
  6. Step 6: Final answer
    x = 139,164.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.