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Finding the Third Proportional to 275,702.63 and 421,664.06

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Solution

The third proportional to 275,702.63 and 421,664.06 is: 644,899.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,702.63 : 421,664.06 = 421,664.06 : x
  2. Step 2: Convert to fraction form
    275,702.63/421,664.06 = 421,664.06/x
  3. Step 3: Cross multiply
    275,702.63x = 421,664.06 × 421,664.06
  4. Step 4: Simplify right side
    275,702.63x = 177,800,581,604.00
  5. Step 5: Solve for x
    x = 177,800,581,604.00/275,702.63
  6. Step 6: Final answer
    x = 644,899.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.