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Finding the Third Proportional to 30,854 and 65,600

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Solution

The third proportional to 30,854 and 65,600 is: 139,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854 : 65,600 = 65,600 : x
  2. Step 2: Convert to fraction form
    30,854/65,600 = 65,600/x
  3. Step 3: Cross multiply
    30,854x = 65,600 × 65,600
  4. Step 4: Simplify right side
    30,854x = 4,303,360,000
  5. Step 5: Solve for x
    x = 4,303,360,000/30,854
  6. Step 6: Final answer
    x = 139,474.95

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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.