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Finding the Third Proportional to 456 and 557.25

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Solution

The third proportional to 456 and 557.25 is: 680.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    456 : 557.25 = 557.25 : x
  2. Step 2: Convert to fraction form
    456/557.25 = 557.25/x
  3. Step 3: Cross multiply
    456x = 557.25 × 557.25
  4. Step 4: Simplify right side
    456x = 310,527.56
  5. Step 5: Solve for x
    x = 310,527.56/456
  6. Step 6: Final answer
    x = 680.98

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.