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Finding the Third Proportional to 27.99 and 40.93

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Solution

The third proportional to 27.99 and 40.93 is: 59.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.99 : 40.93 = 40.93 : x
  2. Step 2: Convert to fraction form
    27.99/40.93 = 40.93/x
  3. Step 3: Cross multiply
    27.99x = 40.93 × 40.93
  4. Step 4: Simplify right side
    27.99x = 1,675.38
  5. Step 5: Solve for x
    x = 1,675.38/27.99
  6. Step 6: Final answer
    x = 59.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.