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Finding the Third Proportional to 12,920.77 and 20,730.94

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Solution

The third proportional to 12,920.77 and 20,730.94 is: 33,262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.77 : 20,730.94 = 20,730.94 : x
  2. Step 2: Convert to fraction form
    12,920.77/20,730.94 = 20,730.94/x
  3. Step 3: Cross multiply
    12,920.77x = 20,730.94 × 20,730.94
  4. Step 4: Simplify right side
    12,920.77x = 429,771,769.63
  5. Step 5: Solve for x
    x = 429,771,769.63/12,920.77
  6. Step 6: Final answer
    x = 33,262.10

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.