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Finding the Third Proportional to 208,412 and 322,518

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Solution

The third proportional to 208,412 and 322,518 is: 499,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,412 : 322,518 = 322,518 : x
  2. Step 2: Convert to fraction form
    208,412/322,518 = 322,518/x
  3. Step 3: Cross multiply
    208,412x = 322,518 × 322,518
  4. Step 4: Simplify right side
    208,412x = 104,017,860,324
  5. Step 5: Solve for x
    x = 104,017,860,324/208,412
  6. Step 6: Final answer
    x = 499,097.27

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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.