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Finding the Third Proportional to 148.64 and 307.64

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Solution

The third proportional to 148.64 and 307.64 is: 636.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.64 : 307.64 = 307.64 : x
  2. Step 2: Convert to fraction form
    148.64/307.64 = 307.64/x
  3. Step 3: Cross multiply
    148.64x = 307.64 × 307.64
  4. Step 4: Simplify right side
    148.64x = 94,642.75
  5. Step 5: Solve for x
    x = 94,642.75/148.64
  6. Step 6: Final answer
    x = 636.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.