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Finding the Third Proportional to 286,672 and 445,376

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Solution

The third proportional to 286,672 and 445,376 is: 691,939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,672 : 445,376 = 445,376 : x
  2. Step 2: Convert to fraction form
    286,672/445,376 = 445,376/x
  3. Step 3: Cross multiply
    286,672x = 445,376 × 445,376
  4. Step 4: Simplify right side
    286,672x = 198,359,781,376
  5. Step 5: Solve for x
    x = 198,359,781,376/286,672
  6. Step 6: Final answer
    x = 691,939.85

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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.