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Finding the Third Proportional to 130.99 and 183.20

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Solution

The third proportional to 130.99 and 183.20 is: 256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.99 : 183.20 = 183.20 : x
  2. Step 2: Convert to fraction form
    130.99/183.20 = 183.20/x
  3. Step 3: Cross multiply
    130.99x = 183.20 × 183.20
  4. Step 4: Simplify right side
    130.99x = 33,561.95
  5. Step 5: Solve for x
    x = 33,561.95/130.99
  6. Step 6: Final answer
    x = 256.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.