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Finding the Third Proportional to 285,215 and 426,933

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Solution

The third proportional to 285,215 and 426,933 is: 639,068.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,215 : 426,933 = 426,933 : x
  2. Step 2: Convert to fraction form
    285,215/426,933 = 426,933/x
  3. Step 3: Cross multiply
    285,215x = 426,933 × 426,933
  4. Step 4: Simplify right side
    285,215x = 182,271,786,489
  5. Step 5: Solve for x
    x = 182,271,786,489/285,215
  6. Step 6: Final answer
    x = 639,068.02

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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.