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Finding the Third Proportional to 12,412.13 and 18,731.25

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Solution

The third proportional to 12,412.13 and 18,731.25 is: 28,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.13 : 18,731.25 = 18,731.25 : x
  2. Step 2: Convert to fraction form
    12,412.13/18,731.25 = 18,731.25/x
  3. Step 3: Cross multiply
    12,412.13x = 18,731.25 × 18,731.25
  4. Step 4: Simplify right side
    12,412.13x = 350,859,726.56
  5. Step 5: Solve for x
    x = 350,859,726.56/12,412.13
  6. Step 6: Final answer
    x = 28,267.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.