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Finding the Third Proportional to 401,569 and 621,794

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Solution

The third proportional to 401,569 and 621,794 is: 962,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,569 : 621,794 = 621,794 : x
  2. Step 2: Convert to fraction form
    401,569/621,794 = 621,794/x
  3. Step 3: Cross multiply
    401,569x = 621,794 × 621,794
  4. Step 4: Simplify right side
    401,569x = 386,627,778,436
  5. Step 5: Solve for x
    x = 386,627,778,436/401,569
  6. Step 6: Final answer
    x = 962,792.89

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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.