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Finding the Third Proportional to 1,445.13 and 3,174.40

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Solution

The third proportional to 1,445.13 and 3,174.40 is: 6,972.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.13 : 3,174.40 = 3,174.40 : x
  2. Step 2: Convert to fraction form
    1,445.13/3,174.40 = 3,174.40/x
  3. Step 3: Cross multiply
    1,445.13x = 3,174.40 × 3,174.40
  4. Step 4: Simplify right side
    1,445.13x = 10,076,805.44
  5. Step 5: Solve for x
    x = 10,076,805.44/1,445.13
  6. Step 6: Final answer
    x = 6,972.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.