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Finding the Third Proportional to 212.63 and 503.09

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Solution

The third proportional to 212.63 and 503.09 is: 1,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.63 : 503.09 = 503.09 : x
  2. Step 2: Convert to fraction form
    212.63/503.09 = 503.09/x
  3. Step 3: Cross multiply
    212.63x = 503.09 × 503.09
  4. Step 4: Simplify right side
    212.63x = 253,095.46
  5. Step 5: Solve for x
    x = 253,095.46/212.63
  6. Step 6: Final answer
    x = 1,190.34

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.