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Finding the Third Proportional to 5,178.75 and 9,622.50

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Solution

The third proportional to 5,178.75 and 9,622.50 is: 17,879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.75 : 9,622.50 = 9,622.50 : x
  2. Step 2: Convert to fraction form
    5,178.75/9,622.50 = 9,622.50/x
  3. Step 3: Cross multiply
    5,178.75x = 9,622.50 × 9,622.50
  4. Step 4: Simplify right side
    5,178.75x = 92,592,506.25
  5. Step 5: Solve for x
    x = 92,592,506.25/5,178.75
  6. Step 6: Final answer
    x = 17,879.32

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.