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Finding the Third Proportional to 259,958 and 558,604

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Solution

The third proportional to 259,958 and 558,604 is: 1,200,341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,958 : 558,604 = 558,604 : x
  2. Step 2: Convert to fraction form
    259,958/558,604 = 558,604/x
  3. Step 3: Cross multiply
    259,958x = 558,604 × 558,604
  4. Step 4: Simplify right side
    259,958x = 312,038,428,816
  5. Step 5: Solve for x
    x = 312,038,428,816/259,958
  6. Step 6: Final answer
    x = 1,200,341.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.