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Finding the Third Proportional to 180,817.88 and 393,780.94

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Solution

The third proportional to 180,817.88 and 393,780.94 is: 857,566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,817.88 : 393,780.94 = 393,780.94 : x
  2. Step 2: Convert to fraction form
    180,817.88/393,780.94 = 393,780.94/x
  3. Step 3: Cross multiply
    180,817.88x = 393,780.94 × 393,780.94
  4. Step 4: Simplify right side
    180,817.88x = 155,063,426,738.38
  5. Step 5: Solve for x
    x = 155,063,426,738.38/180,817.88
  6. Step 6: Final answer
    x = 857,566.91

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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.