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Finding the Third Proportional to 207,906 and 383,416

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Solution

The third proportional to 207,906 and 383,416 is: 707,087.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,906 : 383,416 = 383,416 : x
  2. Step 2: Convert to fraction form
    207,906/383,416 = 383,416/x
  3. Step 3: Cross multiply
    207,906x = 383,416 × 383,416
  4. Step 4: Simplify right side
    207,906x = 147,007,829,056
  5. Step 5: Solve for x
    x = 147,007,829,056/207,906
  6. Step 6: Final answer
    x = 707,087.96

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.