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Finding the Third Proportional to 5,135.50 and 7,338.50

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Solution

The third proportional to 5,135.50 and 7,338.50 is: 10,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.50 : 7,338.50 = 7,338.50 : x
  2. Step 2: Convert to fraction form
    5,135.50/7,338.50 = 7,338.50/x
  3. Step 3: Cross multiply
    5,135.50x = 7,338.50 × 7,338.50
  4. Step 4: Simplify right side
    5,135.50x = 53,853,582.25
  5. Step 5: Solve for x
    x = 53,853,582.25/5,135.50
  6. Step 6: Final answer
    x = 10,486.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.