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Finding the Third Proportional to 401,928 and 621,780

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Solution

The third proportional to 401,928 and 621,780 is: 961,889.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,928 : 621,780 = 621,780 : x
  2. Step 2: Convert to fraction form
    401,928/621,780 = 621,780/x
  3. Step 3: Cross multiply
    401,928x = 621,780 × 621,780
  4. Step 4: Simplify right side
    401,928x = 386,610,368,400
  5. Step 5: Solve for x
    x = 386,610,368,400/401,928
  6. Step 6: Final answer
    x = 961,889.61

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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.