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Finding the Third Proportional to 435,444 and 659,728

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Solution

The third proportional to 435,444 and 659,728 is: 999,533.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,444 : 659,728 = 659,728 : x
  2. Step 2: Convert to fraction form
    435,444/659,728 = 659,728/x
  3. Step 3: Cross multiply
    435,444x = 659,728 × 659,728
  4. Step 4: Simplify right side
    435,444x = 435,241,033,984
  5. Step 5: Solve for x
    x = 435,241,033,984/435,444
  6. Step 6: Final answer
    x = 999,533.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.