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Finding the Third Proportional to 5,290 and 6,955

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Solution

The third proportional to 5,290 and 6,955 is: 9,144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290 : 6,955 = 6,955 : x
  2. Step 2: Convert to fraction form
    5,290/6,955 = 6,955/x
  3. Step 3: Cross multiply
    5,290x = 6,955 × 6,955
  4. Step 4: Simplify right side
    5,290x = 48,372,025
  5. Step 5: Solve for x
    x = 48,372,025/5,290
  6. Step 6: Final answer
    x = 9,144.05

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.