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Finding the Third Proportional to 328,830 and 523,639.50

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Solution

The third proportional to 328,830 and 523,639.50 is: 833,860.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,830 : 523,639.50 = 523,639.50 : x
  2. Step 2: Convert to fraction form
    328,830/523,639.50 = 523,639.50/x
  3. Step 3: Cross multiply
    328,830x = 523,639.50 × 523,639.50
  4. Step 4: Simplify right side
    328,830x = 274,198,325,960.25
  5. Step 5: Solve for x
    x = 274,198,325,960.25/328,830
  6. Step 6: Final answer
    x = 833,860.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.