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Finding the Third Proportional to 198,597 and 277,804.50

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Solution

The third proportional to 198,597 and 277,804.50 is: 388,602.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,597 : 277,804.50 = 277,804.50 : x
  2. Step 2: Convert to fraction form
    198,597/277,804.50 = 277,804.50/x
  3. Step 3: Cross multiply
    198,597x = 277,804.50 × 277,804.50
  4. Step 4: Simplify right side
    198,597x = 77,175,340,220.25
  5. Step 5: Solve for x
    x = 77,175,340,220.25/198,597
  6. Step 6: Final answer
    x = 388,602.75

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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.