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Finding the Third Proportional to 405,744 and 587,760

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Solution

The third proportional to 405,744 and 587,760 is: 851,428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,744 : 587,760 = 587,760 : x
  2. Step 2: Convert to fraction form
    405,744/587,760 = 587,760/x
  3. Step 3: Cross multiply
    405,744x = 587,760 × 587,760
  4. Step 4: Simplify right side
    405,744x = 345,461,817,600
  5. Step 5: Solve for x
    x = 345,461,817,600/405,744
  6. Step 6: Final answer
    x = 851,428.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.