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Finding the Third Proportional to 281,703 and 436,876.50

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Solution

The third proportional to 281,703 and 436,876.50 is: 677,525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,703 : 436,876.50 = 436,876.50 : x
  2. Step 2: Convert to fraction form
    281,703/436,876.50 = 436,876.50/x
  3. Step 3: Cross multiply
    281,703x = 436,876.50 × 436,876.50
  4. Step 4: Simplify right side
    281,703x = 190,861,076,252.25
  5. Step 5: Solve for x
    x = 190,861,076,252.25/281,703
  6. Step 6: Final answer
    x = 677,525.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.