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Finding the Third Proportional to 1,677.47 and 3,686.81

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Solution

The third proportional to 1,677.47 and 3,686.81 is: 8,103.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.47 : 3,686.81 = 3,686.81 : x
  2. Step 2: Convert to fraction form
    1,677.47/3,686.81 = 3,686.81/x
  3. Step 3: Cross multiply
    1,677.47x = 3,686.81 × 3,686.81
  4. Step 4: Simplify right side
    1,677.47x = 13,592,586.41
  5. Step 5: Solve for x
    x = 13,592,586.41/1,677.47
  6. Step 6: Final answer
    x = 8,103.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.