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Finding the Third Proportional to 356.34 and 551.53

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Solution

The third proportional to 356.34 and 551.53 is: 853.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.34 : 551.53 = 551.53 : x
  2. Step 2: Convert to fraction form
    356.34/551.53 = 551.53/x
  3. Step 3: Cross multiply
    356.34x = 551.53 × 551.53
  4. Step 4: Simplify right side
    356.34x = 304,186.72
  5. Step 5: Solve for x
    x = 304,186.72/356.34
  6. Step 6: Final answer
    x = 853.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.