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Finding the Third Proportional to 183,435 and 397,403

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Solution

The third proportional to 183,435 and 397,403 is: 860,954.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,435 : 397,403 = 397,403 : x
  2. Step 2: Convert to fraction form
    183,435/397,403 = 397,403/x
  3. Step 3: Cross multiply
    183,435x = 397,403 × 397,403
  4. Step 4: Simplify right side
    183,435x = 157,929,144,409
  5. Step 5: Solve for x
    x = 157,929,144,409/183,435
  6. Step 6: Final answer
    x = 860,954.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.