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Finding the Third Proportional to 228,278 and 354,850.50

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Solution

The third proportional to 228,278 and 354,850.50 is: 551,603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,278 : 354,850.50 = 354,850.50 : x
  2. Step 2: Convert to fraction form
    228,278/354,850.50 = 354,850.50/x
  3. Step 3: Cross multiply
    228,278x = 354,850.50 × 354,850.50
  4. Step 4: Simplify right side
    228,278x = 125,918,877,350.25
  5. Step 5: Solve for x
    x = 125,918,877,350.25/228,278
  6. Step 6: Final answer
    x = 551,603.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.