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Finding the Third Proportional to 3,465 and 7,643.81

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Solution

The third proportional to 3,465 and 7,643.81 is: 16,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465 : 7,643.81 = 7,643.81 : x
  2. Step 2: Convert to fraction form
    3,465/7,643.81 = 7,643.81/x
  3. Step 3: Cross multiply
    3,465x = 7,643.81 × 7,643.81
  4. Step 4: Simplify right side
    3,465x = 58,427,869.54
  5. Step 5: Solve for x
    x = 58,427,869.54/3,465
  6. Step 6: Final answer
    x = 16,862.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.