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Finding the Third Proportional to 212.20 and 453.80

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Solution

The third proportional to 212.20 and 453.80 is: 970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.20 : 453.80 = 453.80 : x
  2. Step 2: Convert to fraction form
    212.20/453.80 = 453.80/x
  3. Step 3: Cross multiply
    212.20x = 453.80 × 453.80
  4. Step 4: Simplify right side
    212.20x = 205,931.60
  5. Step 5: Solve for x
    x = 205,931.60/212.20
  6. Step 6: Final answer
    x = 970.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.