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Finding the Third Proportional to 405,285.75 and 885,300.75

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Solution

The third proportional to 405,285.75 and 885,300.75 is: 1,933,839.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,285.75 : 885,300.75 = 885,300.75 : x
  2. Step 2: Convert to fraction form
    405,285.75/885,300.75 = 885,300.75/x
  3. Step 3: Cross multiply
    405,285.75x = 885,300.75 × 885,300.75
  4. Step 4: Simplify right side
    405,285.75x = 783,757,417,950.56
  5. Step 5: Solve for x
    x = 783,757,417,950.56/405,285.75
  6. Step 6: Final answer
    x = 1,933,839.07

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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.