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Finding the Third Proportional to 21,555 and 31,512.75

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Solution

The third proportional to 21,555 and 31,512.75 is: 46,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,555 : 31,512.75 = 31,512.75 : x
  2. Step 2: Convert to fraction form
    21,555/31,512.75 = 31,512.75/x
  3. Step 3: Cross multiply
    21,555x = 31,512.75 × 31,512.75
  4. Step 4: Simplify right side
    21,555x = 993,053,412.56
  5. Step 5: Solve for x
    x = 993,053,412.56/21,555
  6. Step 6: Final answer
    x = 46,070.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.