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Finding the Third Proportional to 455,329 and 668,230

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Solution

The third proportional to 455,329 and 668,230 is: 980,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,329 : 668,230 = 668,230 : x
  2. Step 2: Convert to fraction form
    455,329/668,230 = 668,230/x
  3. Step 3: Cross multiply
    455,329x = 668,230 × 668,230
  4. Step 4: Simplify right side
    455,329x = 446,531,332,900
  5. Step 5: Solve for x
    x = 446,531,332,900/455,329
  6. Step 6: Final answer
    x = 980,678.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.