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Finding the Third Proportional to 279,967 and 430,909

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Solution

The third proportional to 279,967 and 430,909 is: 663,230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,967 : 430,909 = 430,909 : x
  2. Step 2: Convert to fraction form
    279,967/430,909 = 430,909/x
  3. Step 3: Cross multiply
    279,967x = 430,909 × 430,909
  4. Step 4: Simplify right side
    279,967x = 185,682,566,281
  5. Step 5: Solve for x
    x = 185,682,566,281/279,967
  6. Step 6: Final answer
    x = 663,230.19

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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.