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Finding the Third Proportional to 285,213 and 426,930

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Solution

The third proportional to 285,213 and 426,930 is: 639,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,213 : 426,930 = 426,930 : x
  2. Step 2: Convert to fraction form
    285,213/426,930 = 426,930/x
  3. Step 3: Cross multiply
    285,213x = 426,930 × 426,930
  4. Step 4: Simplify right side
    285,213x = 182,269,224,900
  5. Step 5: Solve for x
    x = 182,269,224,900/285,213
  6. Step 6: Final answer
    x = 639,063.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.