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Finding the Third Proportional to 434,979 and 665,469

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Solution

The third proportional to 434,979 and 665,469 is: 1,018,092.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,979 : 665,469 = 665,469 : x
  2. Step 2: Convert to fraction form
    434,979/665,469 = 665,469/x
  3. Step 3: Cross multiply
    434,979x = 665,469 × 665,469
  4. Step 4: Simplify right side
    434,979x = 442,848,989,961
  5. Step 5: Solve for x
    x = 442,848,989,961/434,979
  6. Step 6: Final answer
    x = 1,018,092.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.