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Finding the Third Proportional to 3,146.63 and 6,492.38

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Solution

The third proportional to 3,146.63 and 6,492.38 is: 13,395.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.63 : 6,492.38 = 6,492.38 : x
  2. Step 2: Convert to fraction form
    3,146.63/6,492.38 = 6,492.38/x
  3. Step 3: Cross multiply
    3,146.63x = 6,492.38 × 6,492.38
  4. Step 4: Simplify right side
    3,146.63x = 42,150,933.14
  5. Step 5: Solve for x
    x = 42,150,933.14/3,146.63
  6. Step 6: Final answer
    x = 13,395.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.