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Finding the Third Proportional to 286,678 and 445,385

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Solution

The third proportional to 286,678 and 445,385 is: 691,953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,678 : 445,385 = 445,385 : x
  2. Step 2: Convert to fraction form
    286,678/445,385 = 445,385/x
  3. Step 3: Cross multiply
    286,678x = 445,385 × 445,385
  4. Step 4: Simplify right side
    286,678x = 198,367,798,225
  5. Step 5: Solve for x
    x = 198,367,798,225/286,678
  6. Step 6: Final answer
    x = 691,953.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.