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Finding the Third Proportional to 5,420.25 and 7,873.88

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Solution

The third proportional to 5,420.25 and 7,873.88 is: 11,438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.25 : 7,873.88 = 7,873.88 : x
  2. Step 2: Convert to fraction form
    5,420.25/7,873.88 = 7,873.88/x
  3. Step 3: Cross multiply
    5,420.25x = 7,873.88 × 7,873.88
  4. Step 4: Simplify right side
    5,420.25x = 61,997,907.52
  5. Step 5: Solve for x
    x = 61,997,907.52/5,420.25
  6. Step 6: Final answer
    x = 11,438.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.