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Finding the Third Proportional to 357,993 and 779,895

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Solution

The third proportional to 357,993 and 779,895 is: 1,699,017.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,993 : 779,895 = 779,895 : x
  2. Step 2: Convert to fraction form
    357,993/779,895 = 779,895/x
  3. Step 3: Cross multiply
    357,993x = 779,895 × 779,895
  4. Step 4: Simplify right side
    357,993x = 608,236,211,025
  5. Step 5: Solve for x
    x = 608,236,211,025/357,993
  6. Step 6: Final answer
    x = 1,699,017.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.