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Finding the Third Proportional to 307.55 and 653.54

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Solution

The third proportional to 307.55 and 653.54 is: 1,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.55 : 653.54 = 653.54 : x
  2. Step 2: Convert to fraction form
    307.55/653.54 = 653.54/x
  3. Step 3: Cross multiply
    307.55x = 653.54 × 653.54
  4. Step 4: Simplify right side
    307.55x = 427,110.75
  5. Step 5: Solve for x
    x = 427,110.75/307.55
  6. Step 6: Final answer
    x = 1,388.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.