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Finding the Third Proportional to 269,906 and 384,486

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Solution

The third proportional to 269,906 and 384,486 is: 547,707.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,906 : 384,486 = 384,486 : x
  2. Step 2: Convert to fraction form
    269,906/384,486 = 384,486/x
  3. Step 3: Cross multiply
    269,906x = 384,486 × 384,486
  4. Step 4: Simplify right side
    269,906x = 147,829,484,196
  5. Step 5: Solve for x
    x = 147,829,484,196/269,906
  6. Step 6: Final answer
    x = 547,707.29

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.