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Finding the Third Proportional to 401,636 and 869,395

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Solution

The third proportional to 401,636 and 869,395 is: 1,881,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,636 : 869,395 = 869,395 : x
  2. Step 2: Convert to fraction form
    401,636/869,395 = 869,395/x
  3. Step 3: Cross multiply
    401,636x = 869,395 × 869,395
  4. Step 4: Simplify right side
    401,636x = 755,847,666,025
  5. Step 5: Solve for x
    x = 755,847,666,025/401,636
  6. Step 6: Final answer
    x = 1,881,922.10

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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.