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Finding the Third Proportional to 3,686.63 and 5,637.94

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Solution

The third proportional to 3,686.63 and 5,637.94 is: 8,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.63 : 5,637.94 = 5,637.94 : x
  2. Step 2: Convert to fraction form
    3,686.63/5,637.94 = 5,637.94/x
  3. Step 3: Cross multiply
    3,686.63x = 5,637.94 × 5,637.94
  4. Step 4: Simplify right side
    3,686.63x = 31,786,339.25
  5. Step 5: Solve for x
    x = 31,786,339.25/3,686.63
  6. Step 6: Final answer
    x = 8,622.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.