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Finding the Third Proportional to 198,584 and 277,788

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Solution

The third proportional to 198,584 and 277,788 is: 388,582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,584 : 277,788 = 277,788 : x
  2. Step 2: Convert to fraction form
    198,584/277,788 = 277,788/x
  3. Step 3: Cross multiply
    198,584x = 277,788 × 277,788
  4. Step 4: Simplify right side
    198,584x = 77,166,172,944
  5. Step 5: Solve for x
    x = 77,166,172,944/198,584
  6. Step 6: Final answer
    x = 388,582.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.