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Finding the Third Proportional to 7,848.50 and 10,999.75

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Solution

The third proportional to 7,848.50 and 10,999.75 is: 15,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.50 : 10,999.75 = 10,999.75 : x
  2. Step 2: Convert to fraction form
    7,848.50/10,999.75 = 10,999.75/x
  3. Step 3: Cross multiply
    7,848.50x = 10,999.75 × 10,999.75
  4. Step 4: Simplify right side
    7,848.50x = 120,994,500.06
  5. Step 5: Solve for x
    x = 120,994,500.06/7,848.50
  6. Step 6: Final answer
    x = 15,416.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.