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Finding the Third Proportional to 278,130 and 598,191

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Solution

The third proportional to 278,130 and 598,191 is: 1,286,565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,130 : 598,191 = 598,191 : x
  2. Step 2: Convert to fraction form
    278,130/598,191 = 598,191/x
  3. Step 3: Cross multiply
    278,130x = 598,191 × 598,191
  4. Step 4: Simplify right side
    278,130x = 357,832,472,481
  5. Step 5: Solve for x
    x = 357,832,472,481/278,130
  6. Step 6: Final answer
    x = 1,286,565.54

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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.