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Finding the Third Proportional to 212.48 and 493.10

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Solution

The third proportional to 212.48 and 493.10 is: 1,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.48 : 493.10 = 493.10 : x
  2. Step 2: Convert to fraction form
    212.48/493.10 = 493.10/x
  3. Step 3: Cross multiply
    212.48x = 493.10 × 493.10
  4. Step 4: Simplify right side
    212.48x = 243,149.15
  5. Step 5: Solve for x
    x = 243,149.15/212.48
  6. Step 6: Final answer
    x = 1,144.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.