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Finding the Third Proportional to 161.51 and 356.55

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Solution

The third proportional to 161.51 and 356.55 is: 787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.51 : 356.55 = 356.55 : x
  2. Step 2: Convert to fraction form
    161.51/356.55 = 356.55/x
  3. Step 3: Cross multiply
    161.51x = 356.55 × 356.55
  4. Step 4: Simplify right side
    161.51x = 127,131.25
  5. Step 5: Solve for x
    x = 127,131.25/161.51
  6. Step 6: Final answer
    x = 787.15

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.