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Finding the Third Proportional to 357,742 and 744,860

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Solution

The third proportional to 357,742 and 744,860 is: 1,550,884.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,742 : 744,860 = 744,860 : x
  2. Step 2: Convert to fraction form
    357,742/744,860 = 744,860/x
  3. Step 3: Cross multiply
    357,742x = 744,860 × 744,860
  4. Step 4: Simplify right side
    357,742x = 554,816,419,600
  5. Step 5: Solve for x
    x = 554,816,419,600/357,742
  6. Step 6: Final answer
    x = 1,550,884.21

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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.