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Finding the Third Proportional to 545.06 and 656.06

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Solution

The third proportional to 545.06 and 656.06 is: 789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.06 : 656.06 = 656.06 : x
  2. Step 2: Convert to fraction form
    545.06/656.06 = 656.06/x
  3. Step 3: Cross multiply
    545.06x = 656.06 × 656.06
  4. Step 4: Simplify right side
    545.06x = 430,418.00
  5. Step 5: Solve for x
    x = 430,418.00/545.06
  6. Step 6: Final answer
    x = 789.67

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.