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Finding the Third Proportional to 226,520 and 316,858

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Solution

The third proportional to 226,520 and 316,858 is: 443,223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,520 : 316,858 = 316,858 : x
  2. Step 2: Convert to fraction form
    226,520/316,858 = 316,858/x
  3. Step 3: Cross multiply
    226,520x = 316,858 × 316,858
  4. Step 4: Simplify right side
    226,520x = 100,398,992,164
  5. Step 5: Solve for x
    x = 100,398,992,164/226,520
  6. Step 6: Final answer
    x = 443,223.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.