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Finding the Third Proportional to 139 and 316

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Solution

The third proportional to 139 and 316 is: 718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139 : 316 = 316 : x
  2. Step 2: Convert to fraction form
    139/316 = 316/x
  3. Step 3: Cross multiply
    139x = 316 × 316
  4. Step 4: Simplify right side
    139x = 99,856
  5. Step 5: Solve for x
    x = 99,856/139
  6. Step 6: Final answer
    x = 718.39

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.