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Finding the Third Proportional to 5,985 and 14,845.50

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Solution

The third proportional to 5,985 and 14,845.50 is: 36,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985 : 14,845.50 = 14,845.50 : x
  2. Step 2: Convert to fraction form
    5,985/14,845.50 = 14,845.50/x
  3. Step 3: Cross multiply
    5,985x = 14,845.50 × 14,845.50
  4. Step 4: Simplify right side
    5,985x = 220,388,870.25
  5. Step 5: Solve for x
    x = 220,388,870.25/5,985
  6. Step 6: Final answer
    x = 36,823.54

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.