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Finding the Third Proportional to 209,408 and 455,680

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Solution

The third proportional to 209,408 and 455,680 is: 991,577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,408 : 455,680 = 455,680 : x
  2. Step 2: Convert to fraction form
    209,408/455,680 = 455,680/x
  3. Step 3: Cross multiply
    209,408x = 455,680 × 455,680
  4. Step 4: Simplify right side
    209,408x = 207,644,262,400
  5. Step 5: Solve for x
    x = 207,644,262,400/209,408
  6. Step 6: Final answer
    x = 991,577.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.