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Finding the Third Proportional to 263,434 and 407,518

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Solution

The third proportional to 263,434 and 407,518 is: 630,408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,434 : 407,518 = 407,518 : x
  2. Step 2: Convert to fraction form
    263,434/407,518 = 407,518/x
  3. Step 3: Cross multiply
    263,434x = 407,518 × 407,518
  4. Step 4: Simplify right side
    263,434x = 166,070,920,324
  5. Step 5: Solve for x
    x = 166,070,920,324/263,434
  6. Step 6: Final answer
    x = 630,408.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.