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Finding the Third Proportional to 1,421.44 and 2,068.31

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Solution

The third proportional to 1,421.44 and 2,068.31 is: 3,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.44 : 2,068.31 = 2,068.31 : x
  2. Step 2: Convert to fraction form
    1,421.44/2,068.31 = 2,068.31/x
  3. Step 3: Cross multiply
    1,421.44x = 2,068.31 × 2,068.31
  4. Step 4: Simplify right side
    1,421.44x = 4,277,916.60
  5. Step 5: Solve for x
    x = 4,277,916.60/1,421.44
  6. Step 6: Final answer
    x = 3,009.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.