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Finding the Third Proportional to 4,218.75 and 5,628.38

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Solution

The third proportional to 4,218.75 and 5,628.38 is: 7,509.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.75 : 5,628.38 = 5,628.38 : x
  2. Step 2: Convert to fraction form
    4,218.75/5,628.38 = 5,628.38/x
  3. Step 3: Cross multiply
    4,218.75x = 5,628.38 × 5,628.38
  4. Step 4: Simplify right side
    4,218.75x = 31,678,605.14
  5. Step 5: Solve for x
    x = 31,678,605.14/4,218.75
  6. Step 6: Final answer
    x = 7,509.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.