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Finding the Third Proportional to 357,678 and 744,728

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Solution

The third proportional to 357,678 and 744,728 is: 1,550,611.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,678 : 744,728 = 744,728 : x
  2. Step 2: Convert to fraction form
    357,678/744,728 = 744,728/x
  3. Step 3: Cross multiply
    357,678x = 744,728 × 744,728
  4. Step 4: Simplify right side
    357,678x = 554,619,793,984
  5. Step 5: Solve for x
    x = 554,619,793,984/357,678
  6. Step 6: Final answer
    x = 1,550,611.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.