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Finding the Third Proportional to 286,676 and 445,382

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Solution

The third proportional to 286,676 and 445,382 is: 691,948.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,676 : 445,382 = 445,382 : x
  2. Step 2: Convert to fraction form
    286,676/445,382 = 445,382/x
  3. Step 3: Cross multiply
    286,676x = 445,382 × 445,382
  4. Step 4: Simplify right side
    286,676x = 198,365,125,924
  5. Step 5: Solve for x
    x = 198,365,125,924/286,676
  6. Step 6: Final answer
    x = 691,948.84

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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.