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Finding the Third Proportional to 3,318.47 and 7,826.63

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Solution

The third proportional to 3,318.47 and 7,826.63 is: 18,459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.47 : 7,826.63 = 7,826.63 : x
  2. Step 2: Convert to fraction form
    3,318.47/7,826.63 = 7,826.63/x
  3. Step 3: Cross multiply
    3,318.47x = 7,826.63 × 7,826.63
  4. Step 4: Simplify right side
    3,318.47x = 61,256,058.89
  5. Step 5: Solve for x
    x = 61,256,058.89/3,318.47
  6. Step 6: Final answer
    x = 18,459.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.