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Finding the Third Proportional to 1,235.16 and 2,915.64

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Solution

The third proportional to 1,235.16 and 2,915.64 is: 6,882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.16 : 2,915.64 = 2,915.64 : x
  2. Step 2: Convert to fraction form
    1,235.16/2,915.64 = 2,915.64/x
  3. Step 3: Cross multiply
    1,235.16x = 2,915.64 × 2,915.64
  4. Step 4: Simplify right side
    1,235.16x = 8,500,937.48
  5. Step 5: Solve for x
    x = 8,500,937.48/1,235.16
  6. Step 6: Final answer
    x = 6,882.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.