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Finding the Third Proportional to 301,320 and 455,868

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Solution

The third proportional to 301,320 and 455,868 is: 689,684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,320 : 455,868 = 455,868 : x
  2. Step 2: Convert to fraction form
    301,320/455,868 = 455,868/x
  3. Step 3: Cross multiply
    301,320x = 455,868 × 455,868
  4. Step 4: Simplify right side
    301,320x = 207,815,633,424
  5. Step 5: Solve for x
    x = 207,815,633,424/301,320
  6. Step 6: Final answer
    x = 689,684.17

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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.