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Finding the Third Proportional to 840 and 1,188.75

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Solution

The third proportional to 840 and 1,188.75 is: 1,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    840 : 1,188.75 = 1,188.75 : x
  2. Step 2: Convert to fraction form
    840/1,188.75 = 1,188.75/x
  3. Step 3: Cross multiply
    840x = 1,188.75 × 1,188.75
  4. Step 4: Simplify right side
    840x = 1,413,126.56
  5. Step 5: Solve for x
    x = 1,413,126.56/840
  6. Step 6: Final answer
    x = 1,682.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.