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Finding the Third Proportional to 401,634 and 869,390

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Solution

The third proportional to 401,634 and 869,390 is: 1,881,909.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,634 : 869,390 = 869,390 : x
  2. Step 2: Convert to fraction form
    401,634/869,390 = 869,390/x
  3. Step 3: Cross multiply
    401,634x = 869,390 × 869,390
  4. Step 4: Simplify right side
    401,634x = 755,838,972,100
  5. Step 5: Solve for x
    x = 755,838,972,100/401,634
  6. Step 6: Final answer
    x = 1,881,909.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.