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Finding the Third Proportional to 7,848.14 and 8,550.56

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Solution

The third proportional to 7,848.14 and 8,550.56 is: 9,315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.14 : 8,550.56 = 8,550.56 : x
  2. Step 2: Convert to fraction form
    7,848.14/8,550.56 = 8,550.56/x
  3. Step 3: Cross multiply
    7,848.14x = 8,550.56 × 8,550.56
  4. Step 4: Simplify right side
    7,848.14x = 73,112,119.07
  5. Step 5: Solve for x
    x = 73,112,119.07/7,848.14
  6. Step 6: Final answer
    x = 9,315.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.