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Finding the Third Proportional to 435,309 and 665,469

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Solution

The third proportional to 435,309 and 665,469 is: 1,017,321.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,309 : 665,469 = 665,469 : x
  2. Step 2: Convert to fraction form
    435,309/665,469 = 665,469/x
  3. Step 3: Cross multiply
    435,309x = 665,469 × 665,469
  4. Step 4: Simplify right side
    435,309x = 442,848,989,961
  5. Step 5: Solve for x
    x = 442,848,989,961/435,309
  6. Step 6: Final answer
    x = 1,017,321.01

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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.