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Finding the Third Proportional to 288.56 and 368.16

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Solution

The third proportional to 288.56 and 368.16 is: 469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.56 : 368.16 = 368.16 : x
  2. Step 2: Convert to fraction form
    288.56/368.16 = 368.16/x
  3. Step 3: Cross multiply
    288.56x = 368.16 × 368.16
  4. Step 4: Simplify right side
    288.56x = 135,539.02
  5. Step 5: Solve for x
    x = 135,539.02/288.56
  6. Step 6: Final answer
    x = 469.70

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.