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Finding the Third Proportional to 180,717.75 and 393,611.06

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Solution

The third proportional to 180,717.75 and 393,611.06 is: 857,301.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,717.75 : 393,611.06 = 393,611.06 : x
  2. Step 2: Convert to fraction form
    180,717.75/393,611.06 = 393,611.06/x
  3. Step 3: Cross multiply
    180,717.75x = 393,611.06 × 393,611.06
  4. Step 4: Simplify right side
    180,717.75x = 154,929,668,522.38
  5. Step 5: Solve for x
    x = 154,929,668,522.38/180,717.75
  6. Step 6: Final answer
    x = 857,301.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.