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Finding the Third Proportional to 378.42 and 477.77

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Solution

The third proportional to 378.42 and 477.77 is: 603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.42 : 477.77 = 477.77 : x
  2. Step 2: Convert to fraction form
    378.42/477.77 = 477.77/x
  3. Step 3: Cross multiply
    378.42x = 477.77 × 477.77
  4. Step 4: Simplify right side
    378.42x = 228,267.46
  5. Step 5: Solve for x
    x = 228,267.46/378.42
  6. Step 6: Final answer
    x = 603.21

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.