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Finding the Third Proportional to 364.08 and 578.60

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Solution

The third proportional to 364.08 and 578.60 is: 919.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.08 : 578.60 = 578.60 : x
  2. Step 2: Convert to fraction form
    364.08/578.60 = 578.60/x
  3. Step 3: Cross multiply
    364.08x = 578.60 × 578.60
  4. Step 4: Simplify right side
    364.08x = 334,779.77
  5. Step 5: Solve for x
    x = 334,779.77/364.08
  6. Step 6: Final answer
    x = 919.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.