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Finding the Third Proportional to 279,714 and 430,190

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Solution

The third proportional to 279,714 and 430,190 is: 661,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,714 : 430,190 = 430,190 : x
  2. Step 2: Convert to fraction form
    279,714/430,190 = 430,190/x
  3. Step 3: Cross multiply
    279,714x = 430,190 × 430,190
  4. Step 4: Simplify right side
    279,714x = 185,063,436,100
  5. Step 5: Solve for x
    x = 185,063,436,100/279,714
  6. Step 6: Final answer
    x = 661,616.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.