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Finding the Third Proportional to 401,539 and 869,231

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Solution

The third proportional to 401,539 and 869,231 is: 1,881,666.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,539 : 869,231 = 869,231 : x
  2. Step 2: Convert to fraction form
    401,539/869,231 = 869,231/x
  3. Step 3: Cross multiply
    401,539x = 869,231 × 869,231
  4. Step 4: Simplify right side
    401,539x = 755,562,531,361
  5. Step 5: Solve for x
    x = 755,562,531,361/401,539
  6. Step 6: Final answer
    x = 1,881,666.62

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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.