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Finding the Third Proportional to 368.77 and 500.48

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Solution

The third proportional to 368.77 and 500.48 is: 679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.77 : 500.48 = 500.48 : x
  2. Step 2: Convert to fraction form
    368.77/500.48 = 500.48/x
  3. Step 3: Cross multiply
    368.77x = 500.48 × 500.48
  4. Step 4: Simplify right side
    368.77x = 250,475.81
  5. Step 5: Solve for x
    x = 250,475.81/368.77
  6. Step 6: Final answer
    x = 679.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.