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Finding the Third Proportional to 305,284 and 449,097

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Solution

The third proportional to 305,284 and 449,097 is: 660,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,284 : 449,097 = 449,097 : x
  2. Step 2: Convert to fraction form
    305,284/449,097 = 449,097/x
  3. Step 3: Cross multiply
    305,284x = 449,097 × 449,097
  4. Step 4: Simplify right side
    305,284x = 201,688,115,409
  5. Step 5: Solve for x
    x = 201,688,115,409/305,284
  6. Step 6: Final answer
    x = 660,657.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.