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Finding the Third Proportional to 275,789.81 and 421,703.72

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Solution

The third proportional to 275,789.81 and 421,703.72 is: 644,817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,789.81 : 421,703.72 = 421,703.72 : x
  2. Step 2: Convert to fraction form
    275,789.81/421,703.72 = 421,703.72/x
  3. Step 3: Cross multiply
    275,789.81x = 421,703.72 × 421,703.72
  4. Step 4: Simplify right side
    275,789.81x = 177,834,026,407.58
  5. Step 5: Solve for x
    x = 177,834,026,407.58/275,789.81
  6. Step 6: Final answer
    x = 644,817.24

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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.