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Finding the Third Proportional to 289.59 and 368.16

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Solution

The third proportional to 289.59 and 368.16 is: 468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.59 : 368.16 = 368.16 : x
  2. Step 2: Convert to fraction form
    289.59/368.16 = 368.16/x
  3. Step 3: Cross multiply
    289.59x = 368.16 × 368.16
  4. Step 4: Simplify right side
    289.59x = 135,539.02
  5. Step 5: Solve for x
    x = 135,539.02/289.59
  6. Step 6: Final answer
    x = 468.03

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.