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Finding the Third Proportional to 263,464 and 408,712

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Solution

The third proportional to 263,464 and 408,712 is: 634,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,464 : 408,712 = 408,712 : x
  2. Step 2: Convert to fraction form
    263,464/408,712 = 408,712/x
  3. Step 3: Cross multiply
    263,464x = 408,712 × 408,712
  4. Step 4: Simplify right side
    263,464x = 167,045,498,944
  5. Step 5: Solve for x
    x = 167,045,498,944/263,464
  6. Step 6: Final answer
    x = 634,035.39

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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.