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Finding the Third Proportional to 65,821 and 155,220

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Solution

The third proportional to 65,821 and 155,220 is: 366,041.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,821 : 155,220 = 155,220 : x
  2. Step 2: Convert to fraction form
    65,821/155,220 = 155,220/x
  3. Step 3: Cross multiply
    65,821x = 155,220 × 155,220
  4. Step 4: Simplify right side
    65,821x = 24,093,248,400
  5. Step 5: Solve for x
    x = 24,093,248,400/65,821
  6. Step 6: Final answer
    x = 366,041.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.