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Finding the Third Proportional to 275,233 and 455,518

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Solution

The third proportional to 275,233 and 455,518 is: 753,894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,233 : 455,518 = 455,518 : x
  2. Step 2: Convert to fraction form
    275,233/455,518 = 455,518/x
  3. Step 3: Cross multiply
    275,233x = 455,518 × 455,518
  4. Step 4: Simplify right side
    275,233x = 207,496,648,324
  5. Step 5: Solve for x
    x = 207,496,648,324/275,233
  6. Step 6: Final answer
    x = 753,894.51

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.