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Finding the Third Proportional to 357,740 and 744,856

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Solution

The third proportional to 357,740 and 744,856 is: 1,550,876.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,740 : 744,856 = 744,856 : x
  2. Step 2: Convert to fraction form
    357,740/744,856 = 744,856/x
  3. Step 3: Cross multiply
    357,740x = 744,856 × 744,856
  4. Step 4: Simplify right side
    357,740x = 554,810,460,736
  5. Step 5: Solve for x
    x = 554,810,460,736/357,740
  6. Step 6: Final answer
    x = 1,550,876.23

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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.