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Finding the Third Proportional to 356.53 and 547.78

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Solution

The third proportional to 356.53 and 547.78 is: 841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.53 : 547.78 = 547.78 : x
  2. Step 2: Convert to fraction form
    356.53/547.78 = 547.78/x
  3. Step 3: Cross multiply
    356.53x = 547.78 × 547.78
  4. Step 4: Simplify right side
    356.53x = 300,064.30
  5. Step 5: Solve for x
    x = 300,064.30/356.53
  6. Step 6: Final answer
    x = 841.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.