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Finding the Third Proportional to 56.95 and 65.50

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Solution

The third proportional to 56.95 and 65.50 is: 75.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.95 : 65.50 = 65.50 : x
  2. Step 2: Convert to fraction form
    56.95/65.50 = 65.50/x
  3. Step 3: Cross multiply
    56.95x = 65.50 × 65.50
  4. Step 4: Simplify right side
    56.95x = 4,289.74
  5. Step 5: Solve for x
    x = 4,289.74/56.95
  6. Step 6: Final answer
    x = 75.32

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.