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Finding the Third Proportional to 475.56 and 619.94

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Solution

The third proportional to 475.56 and 619.94 is: 808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.56 : 619.94 = 619.94 : x
  2. Step 2: Convert to fraction form
    475.56/619.94 = 619.94/x
  3. Step 3: Cross multiply
    475.56x = 619.94 × 619.94
  4. Step 4: Simplify right side
    475.56x = 384,322.50
  5. Step 5: Solve for x
    x = 384,322.50/475.56
  6. Step 6: Final answer
    x = 808.14

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.