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Finding the Third Proportional to 401,728.50 and 621,765

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Solution

The third proportional to 401,728.50 and 621,765 is: 962,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,728.50 : 621,765 = 621,765 : x
  2. Step 2: Convert to fraction form
    401,728.50/621,765 = 621,765/x
  3. Step 3: Cross multiply
    401,728.50x = 621,765 × 621,765
  4. Step 4: Simplify right side
    401,728.50x = 386,591,715,225
  5. Step 5: Solve for x
    x = 386,591,715,225/401,728.50
  6. Step 6: Final answer
    x = 962,320.86

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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.