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Finding the Third Proportional to 1,428 and 3,320

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Solution

The third proportional to 1,428 and 3,320 is: 7,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428 : 3,320 = 3,320 : x
  2. Step 2: Convert to fraction form
    1,428/3,320 = 3,320/x
  3. Step 3: Cross multiply
    1,428x = 3,320 × 3,320
  4. Step 4: Simplify right side
    1,428x = 11,022,400
  5. Step 5: Solve for x
    x = 11,022,400/1,428
  6. Step 6: Final answer
    x = 7,718.77

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.