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Finding the Third Proportional to 423.56 and 566.06

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Solution

The third proportional to 423.56 and 566.06 is: 756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.56 : 566.06 = 566.06 : x
  2. Step 2: Convert to fraction form
    423.56/566.06 = 566.06/x
  3. Step 3: Cross multiply
    423.56x = 566.06 × 566.06
  4. Step 4: Simplify right side
    423.56x = 320,426.75
  5. Step 5: Solve for x
    x = 320,426.75/423.56
  6. Step 6: Final answer
    x = 756.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.