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Finding the Third Proportional to 30,822 and 65,617

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Solution

The third proportional to 30,822 and 65,617 is: 139,692.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822 : 65,617 = 65,617 : x
  2. Step 2: Convert to fraction form
    30,822/65,617 = 65,617/x
  3. Step 3: Cross multiply
    30,822x = 65,617 × 65,617
  4. Step 4: Simplify right side
    30,822x = 4,305,590,689
  5. Step 5: Solve for x
    x = 4,305,590,689/30,822
  6. Step 6: Final answer
    x = 139,692.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.