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Finding the Third Proportional to 4,878.56 and 10,848.94

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Solution

The third proportional to 4,878.56 and 10,848.94 is: 24,125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.56 : 10,848.94 = 10,848.94 : x
  2. Step 2: Convert to fraction form
    4,878.56/10,848.94 = 10,848.94/x
  3. Step 3: Cross multiply
    4,878.56x = 10,848.94 × 10,848.94
  4. Step 4: Simplify right side
    4,878.56x = 117,699,444.88
  5. Step 5: Solve for x
    x = 117,699,444.88/4,878.56
  6. Step 6: Final answer
    x = 24,125.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.