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Finding the Third Proportional to 4,915.69 and 6,211.69

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Solution

The third proportional to 4,915.69 and 6,211.69 is: 7,849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,915.69 : 6,211.69 = 6,211.69 : x
  2. Step 2: Convert to fraction form
    4,915.69/6,211.69 = 6,211.69/x
  3. Step 3: Cross multiply
    4,915.69x = 6,211.69 × 6,211.69
  4. Step 4: Simplify right side
    4,915.69x = 38,585,061.60
  5. Step 5: Solve for x
    x = 38,585,061.60/4,915.69
  6. Step 6: Final answer
    x = 7,849.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.