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Finding the Third Proportional to 1,420.03 and 2,709.07

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Solution

The third proportional to 1,420.03 and 2,709.07 is: 5,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.03 : 2,709.07 = 2,709.07 : x
  2. Step 2: Convert to fraction form
    1,420.03/2,709.07 = 2,709.07/x
  3. Step 3: Cross multiply
    1,420.03x = 2,709.07 × 2,709.07
  4. Step 4: Simplify right side
    1,420.03x = 7,339,061.96
  5. Step 5: Solve for x
    x = 7,339,061.96/1,420.03
  6. Step 6: Final answer
    x = 5,168.24

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.