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Finding the Third Proportional to 259,242 and 558,948

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Solution

The third proportional to 259,242 and 558,948 is: 1,205,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,242 : 558,948 = 558,948 : x
  2. Step 2: Convert to fraction form
    259,242/558,948 = 558,948/x
  3. Step 3: Cross multiply
    259,242x = 558,948 × 558,948
  4. Step 4: Simplify right side
    259,242x = 312,422,866,704
  5. Step 5: Solve for x
    x = 312,422,866,704/259,242
  6. Step 6: Final answer
    x = 1,205,139.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.