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Finding the Third Proportional to 589.13 and 900.19

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Solution

The third proportional to 589.13 and 900.19 is: 1,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.13 : 900.19 = 900.19 : x
  2. Step 2: Convert to fraction form
    589.13/900.19 = 900.19/x
  3. Step 3: Cross multiply
    589.13x = 900.19 × 900.19
  4. Step 4: Simplify right side
    589.13x = 810,337.54
  5. Step 5: Solve for x
    x = 810,337.54/589.13
  6. Step 6: Final answer
    x = 1,375.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.