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Finding the Third Proportional to 30,816 and 65,448

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Solution

The third proportional to 30,816 and 65,448 is: 139,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816 : 65,448 = 65,448 : x
  2. Step 2: Convert to fraction form
    30,816/65,448 = 65,448/x
  3. Step 3: Cross multiply
    30,816x = 65,448 × 65,448
  4. Step 4: Simplify right side
    30,816x = 4,283,440,704
  5. Step 5: Solve for x
    x = 4,283,440,704/30,816
  6. Step 6: Final answer
    x = 139,000.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.