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Finding the Third Proportional to 229.78 and 457.03

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Solution

The third proportional to 229.78 and 457.03 is: 909.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.78 : 457.03 = 457.03 : x
  2. Step 2: Convert to fraction form
    229.78/457.03 = 457.03/x
  3. Step 3: Cross multiply
    229.78x = 457.03 × 457.03
  4. Step 4: Simplify right side
    229.78x = 208,877.56
  5. Step 5: Solve for x
    x = 208,877.56/229.78
  6. Step 6: Final answer
    x = 909.03

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.