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Finding the Third Proportional to 30,668 and 65,633

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Solution

The third proportional to 30,668 and 65,633 is: 140,462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,668 : 65,633 = 65,633 : x
  2. Step 2: Convert to fraction form
    30,668/65,633 = 65,633/x
  3. Step 3: Cross multiply
    30,668x = 65,633 × 65,633
  4. Step 4: Simplify right side
    30,668x = 4,307,690,689
  5. Step 5: Solve for x
    x = 4,307,690,689/30,668
  6. Step 6: Final answer
    x = 140,462.07

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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.