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Finding the Third Proportional to 1,231 and 1,321

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Solution

The third proportional to 1,231 and 1,321 is: 1,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231 : 1,321 = 1,321 : x
  2. Step 2: Convert to fraction form
    1,231/1,321 = 1,321/x
  3. Step 3: Cross multiply
    1,231x = 1,321 × 1,321
  4. Step 4: Simplify right side
    1,231x = 1,745,041
  5. Step 5: Solve for x
    x = 1,745,041/1,231
  6. Step 6: Final answer
    x = 1,417.58

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.