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Finding the Third Proportional to 356 and 784

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Solution

The third proportional to 356 and 784 is: 1,726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    356 : 784 = 784 : x
  2. Step 2: Convert to fraction form
    356/784 = 784/x
  3. Step 3: Cross multiply
    356x = 784 × 784
  4. Step 4: Simplify right side
    356x = 614,656
  5. Step 5: Solve for x
    x = 614,656/356
  6. Step 6: Final answer
    x = 1,726.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.