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Finding the Third Proportional to 356.30 and 547.29

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Solution

The third proportional to 356.30 and 547.29 is: 840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.30 : 547.29 = 547.29 : x
  2. Step 2: Convert to fraction form
    356.30/547.29 = 547.29/x
  3. Step 3: Cross multiply
    356.30x = 547.29 × 547.29
  4. Step 4: Simplify right side
    356.30x = 299,525.32
  5. Step 5: Solve for x
    x = 299,525.32/356.30
  6. Step 6: Final answer
    x = 840.66

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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.