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Finding the Third Proportional to 7,112.81 and 7,705.13

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Solution

The third proportional to 7,112.81 and 7,705.13 is: 8,346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.81 : 7,705.13 = 7,705.13 : x
  2. Step 2: Convert to fraction form
    7,112.81/7,705.13 = 7,705.13/x
  3. Step 3: Cross multiply
    7,112.81x = 7,705.13 × 7,705.13
  4. Step 4: Simplify right side
    7,112.81x = 59,368,951.27
  5. Step 5: Solve for x
    x = 59,368,951.27/7,112.81
  6. Step 6: Final answer
    x = 8,346.76

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.