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Finding the Third Proportional to 8,277.19 and 13,090.78

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Solution

The third proportional to 8,277.19 and 13,090.78 is: 20,703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.19 : 13,090.78 = 13,090.78 : x
  2. Step 2: Convert to fraction form
    8,277.19/13,090.78 = 13,090.78/x
  3. Step 3: Cross multiply
    8,277.19x = 13,090.78 × 13,090.78
  4. Step 4: Simplify right side
    8,277.19x = 171,368,553.74
  5. Step 5: Solve for x
    x = 171,368,553.74/8,277.19
  6. Step 6: Final answer
    x = 20,703.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.