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Finding the Third Proportional to 1,427.63 and 3,420.04

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Solution

The third proportional to 1,427.63 and 3,420.04 is: 8,193.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.63 : 3,420.04 = 3,420.04 : x
  2. Step 2: Convert to fraction form
    1,427.63/3,420.04 = 3,420.04/x
  3. Step 3: Cross multiply
    1,427.63x = 3,420.04 × 3,420.04
  4. Step 4: Simplify right side
    1,427.63x = 11,696,640.47
  5. Step 5: Solve for x
    x = 11,696,640.47/1,427.63
  6. Step 6: Final answer
    x = 8,193.08

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.