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Finding the Third Proportional to 575.16 and 839.39

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Solution

The third proportional to 575.16 and 839.39 is: 1,225.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.16 : 839.39 = 839.39 : x
  2. Step 2: Convert to fraction form
    575.16/839.39 = 839.39/x
  3. Step 3: Cross multiply
    575.16x = 839.39 × 839.39
  4. Step 4: Simplify right side
    575.16x = 704,576.62
  5. Step 5: Solve for x
    x = 704,576.62/575.16
  6. Step 6: Final answer
    x = 1,225.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.