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Finding the Third Proportional to 600.75 and 1,421.63

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Solution

The third proportional to 600.75 and 1,421.63 is: 3,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.75 : 1,421.63 = 1,421.63 : x
  2. Step 2: Convert to fraction form
    600.75/1,421.63 = 1,421.63/x
  3. Step 3: Cross multiply
    600.75x = 1,421.63 × 1,421.63
  4. Step 4: Simplify right side
    600.75x = 2,021,017.64
  5. Step 5: Solve for x
    x = 2,021,017.64/600.75
  6. Step 6: Final answer
    x = 3,364.16

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.