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Finding the Third Proportional to 377 and 561.50

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Solution

The third proportional to 377 and 561.50 is: 836.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    377 : 561.50 = 561.50 : x
  2. Step 2: Convert to fraction form
    377/561.50 = 561.50/x
  3. Step 3: Cross multiply
    377x = 561.50 × 561.50
  4. Step 4: Simplify right side
    377x = 315,282.25
  5. Step 5: Solve for x
    x = 315,282.25/377
  6. Step 6: Final answer
    x = 836.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.