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Finding the Third Proportional to 401,396 and 621,860

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Solution

The third proportional to 401,396 and 621,860 is: 963,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,396 : 621,860 = 621,860 : x
  2. Step 2: Convert to fraction form
    401,396/621,860 = 621,860/x
  3. Step 3: Cross multiply
    401,396x = 621,860 × 621,860
  4. Step 4: Simplify right side
    401,396x = 386,709,859,600
  5. Step 5: Solve for x
    x = 386,709,859,600/401,396
  6. Step 6: Final answer
    x = 963,412.34

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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.