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Finding the Third Proportional to 301,396 and 455,974

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Solution

The third proportional to 301,396 and 455,974 is: 689,830.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,396 : 455,974 = 455,974 : x
  2. Step 2: Convert to fraction form
    301,396/455,974 = 455,974/x
  3. Step 3: Cross multiply
    301,396x = 455,974 × 455,974
  4. Step 4: Simplify right side
    301,396x = 207,912,288,676
  5. Step 5: Solve for x
    x = 207,912,288,676/301,396
  6. Step 6: Final answer
    x = 689,830.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.