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Finding the Third Proportional to 1,438.63 and 3,146.38

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Solution

The third proportional to 1,438.63 and 3,146.38 is: 6,881.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.63 : 3,146.38 = 3,146.38 : x
  2. Step 2: Convert to fraction form
    1,438.63/3,146.38 = 3,146.38/x
  3. Step 3: Cross multiply
    1,438.63x = 3,146.38 × 3,146.38
  4. Step 4: Simplify right side
    1,438.63x = 9,899,675.64
  5. Step 5: Solve for x
    x = 9,899,675.64/1,438.63
  6. Step 6: Final answer
    x = 6,881.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.