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Finding the Third Proportional to 3,915.25 and 5,368.88

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Solution

The third proportional to 3,915.25 and 5,368.88 is: 7,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.25 : 5,368.88 = 5,368.88 : x
  2. Step 2: Convert to fraction form
    3,915.25/5,368.88 = 5,368.88/x
  3. Step 3: Cross multiply
    3,915.25x = 5,368.88 × 5,368.88
  4. Step 4: Simplify right side
    3,915.25x = 28,824,818.77
  5. Step 5: Solve for x
    x = 28,824,818.77/3,915.25
  6. Step 6: Final answer
    x = 7,362.19

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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.