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Finding the Third Proportional to 1,170 and 1,289.25

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Solution

The third proportional to 1,170 and 1,289.25 is: 1,420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170 : 1,289.25 = 1,289.25 : x
  2. Step 2: Convert to fraction form
    1,170/1,289.25 = 1,289.25/x
  3. Step 3: Cross multiply
    1,170x = 1,289.25 × 1,289.25
  4. Step 4: Simplify right side
    1,170x = 1,662,165.56
  5. Step 5: Solve for x
    x = 1,662,165.56/1,170
  6. Step 6: Final answer
    x = 1,420.65

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.