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Finding the Third Proportional to 357.19 and 549.56

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Solution

The third proportional to 357.19 and 549.56 is: 845.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.19 : 549.56 = 549.56 : x
  2. Step 2: Convert to fraction form
    357.19/549.56 = 549.56/x
  3. Step 3: Cross multiply
    357.19x = 549.56 × 549.56
  4. Step 4: Simplify right side
    357.19x = 302,018.94
  5. Step 5: Solve for x
    x = 302,018.94/357.19
  6. Step 6: Final answer
    x = 845.55

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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.