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Finding the Third Proportional to 5,025.50 and 6,890.25

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Solution

The third proportional to 5,025.50 and 6,890.25 is: 9,446.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,025.50 : 6,890.25 = 6,890.25 : x
  2. Step 2: Convert to fraction form
    5,025.50/6,890.25 = 6,890.25/x
  3. Step 3: Cross multiply
    5,025.50x = 6,890.25 × 6,890.25
  4. Step 4: Simplify right side
    5,025.50x = 47,475,545.06
  5. Step 5: Solve for x
    x = 47,475,545.06/5,025.50
  6. Step 6: Final answer
    x = 9,446.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.