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Finding the Third Proportional to 278,140 and 598,196

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Solution

The third proportional to 278,140 and 598,196 is: 1,286,540.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,140 : 598,196 = 598,196 : x
  2. Step 2: Convert to fraction form
    278,140/598,196 = 598,196/x
  3. Step 3: Cross multiply
    278,140x = 598,196 × 598,196
  4. Step 4: Simplify right side
    278,140x = 357,838,454,416
  5. Step 5: Solve for x
    x = 357,838,454,416/278,140
  6. Step 6: Final answer
    x = 1,286,540.79

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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.