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Finding the Third Proportional to 12,977.51 and 20,331.21

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Solution

The third proportional to 12,977.51 and 20,331.21 is: 31,851.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977.51 : 20,331.21 = 20,331.21 : x
  2. Step 2: Convert to fraction form
    12,977.51/20,331.21 = 20,331.21/x
  3. Step 3: Cross multiply
    12,977.51x = 20,331.21 × 20,331.21
  4. Step 4: Simplify right side
    12,977.51x = 413,358,138.19
  5. Step 5: Solve for x
    x = 413,358,138.19/12,977.51
  6. Step 6: Final answer
    x = 31,851.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.