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Finding the Third Proportional to 1,420.31 and 3,056.63

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Solution

The third proportional to 1,420.31 and 3,056.63 is: 6,578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.31 : 3,056.63 = 3,056.63 : x
  2. Step 2: Convert to fraction form
    1,420.31/3,056.63 = 3,056.63/x
  3. Step 3: Cross multiply
    1,420.31x = 3,056.63 × 3,056.63
  4. Step 4: Simplify right side
    1,420.31x = 9,342,956.39
  5. Step 5: Solve for x
    x = 9,342,956.39/1,420.31
  6. Step 6: Final answer
    x = 6,578.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.