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Finding the Third Proportional to 285,336 and 423,900

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Solution

The third proportional to 285,336 and 423,900 is: 629,753.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,336 : 423,900 = 423,900 : x
  2. Step 2: Convert to fraction form
    285,336/423,900 = 423,900/x
  3. Step 3: Cross multiply
    285,336x = 423,900 × 423,900
  4. Step 4: Simplify right side
    285,336x = 179,691,210,000
  5. Step 5: Solve for x
    x = 179,691,210,000/285,336
  6. Step 6: Final answer
    x = 629,753.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.