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Finding the Third Proportional to 356,197.50 and 551,245.50

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Solution

The third proportional to 356,197.50 and 551,245.50 is: 853,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,197.50 : 551,245.50 = 551,245.50 : x
  2. Step 2: Convert to fraction form
    356,197.50/551,245.50 = 551,245.50/x
  3. Step 3: Cross multiply
    356,197.50x = 551,245.50 × 551,245.50
  4. Step 4: Simplify right side
    356,197.50x = 303,871,601,270.25
  5. Step 5: Solve for x
    x = 303,871,601,270.25/356,197.50
  6. Step 6: Final answer
    x = 853,098.64

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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.