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Finding the Third Proportional to 337,090 and 778,405

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Solution

The third proportional to 337,090 and 778,405 is: 1,797,485.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,090 : 778,405 = 778,405 : x
  2. Step 2: Convert to fraction form
    337,090/778,405 = 778,405/x
  3. Step 3: Cross multiply
    337,090x = 778,405 × 778,405
  4. Step 4: Simplify right side
    337,090x = 605,914,344,025
  5. Step 5: Solve for x
    x = 605,914,344,025/337,090
  6. Step 6: Final answer
    x = 1,797,485.37

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.