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Finding the Third Proportional to 4,871.75 and 7,125.25

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Solution

The third proportional to 4,871.75 and 7,125.25 is: 10,421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.75 : 7,125.25 = 7,125.25 : x
  2. Step 2: Convert to fraction form
    4,871.75/7,125.25 = 7,125.25/x
  3. Step 3: Cross multiply
    4,871.75x = 7,125.25 × 7,125.25
  4. Step 4: Simplify right side
    4,871.75x = 50,769,187.56
  5. Step 5: Solve for x
    x = 50,769,187.56/4,871.75
  6. Step 6: Final answer
    x = 10,421.14

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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.