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Finding the Third Proportional to 401,574 and 621,801

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Solution

The third proportional to 401,574 and 621,801 is: 962,802.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,574 : 621,801 = 621,801 : x
  2. Step 2: Convert to fraction form
    401,574/621,801 = 621,801/x
  3. Step 3: Cross multiply
    401,574x = 621,801 × 621,801
  4. Step 4: Simplify right side
    401,574x = 386,636,483,601
  5. Step 5: Solve for x
    x = 386,636,483,601/401,574
  6. Step 6: Final answer
    x = 962,802.58

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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.