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Finding the Third Proportional to 258,921 and 401,823

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Solution

The third proportional to 258,921 and 401,823 is: 623,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,921 : 401,823 = 401,823 : x
  2. Step 2: Convert to fraction form
    258,921/401,823 = 401,823/x
  3. Step 3: Cross multiply
    258,921x = 401,823 × 401,823
  4. Step 4: Simplify right side
    258,921x = 161,461,723,329
  5. Step 5: Solve for x
    x = 161,461,723,329/258,921
  6. Step 6: Final answer
    x = 623,594.55

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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.