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Finding the Third Proportional to 4,210.50 and 5,718.75

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Solution

The third proportional to 4,210.50 and 5,718.75 is: 7,767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.50 : 5,718.75 = 5,718.75 : x
  2. Step 2: Convert to fraction form
    4,210.50/5,718.75 = 5,718.75/x
  3. Step 3: Cross multiply
    4,210.50x = 5,718.75 × 5,718.75
  4. Step 4: Simplify right side
    4,210.50x = 32,704,101.56
  5. Step 5: Solve for x
    x = 32,704,101.56/4,210.50
  6. Step 6: Final answer
    x = 7,767.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.