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Finding the Third Proportional to 13,446 and 31,245.75

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Solution

The third proportional to 13,446 and 31,245.75 is: 72,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446 : 31,245.75 = 31,245.75 : x
  2. Step 2: Convert to fraction form
    13,446/31,245.75 = 31,245.75/x
  3. Step 3: Cross multiply
    13,446x = 31,245.75 × 31,245.75
  4. Step 4: Simplify right side
    13,446x = 976,296,893.06
  5. Step 5: Solve for x
    x = 976,296,893.06/13,446
  6. Step 6: Final answer
    x = 72,608.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.