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Finding the Third Proportional to 401,635 and 869,392

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Solution

The third proportional to 401,635 and 869,392 is: 1,881,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,635 : 869,392 = 869,392 : x
  2. Step 2: Convert to fraction form
    401,635/869,392 = 869,392/x
  3. Step 3: Cross multiply
    401,635x = 869,392 × 869,392
  4. Step 4: Simplify right side
    401,635x = 755,842,449,664
  5. Step 5: Solve for x
    x = 755,842,449,664/401,635
  6. Step 6: Final answer
    x = 1,881,913.80

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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.