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Finding the Third Proportional to 487,032 and 728,568

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Solution

The third proportional to 487,032 and 728,568 is: 1,089,890.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,032 : 728,568 = 728,568 : x
  2. Step 2: Convert to fraction form
    487,032/728,568 = 728,568/x
  3. Step 3: Cross multiply
    487,032x = 728,568 × 728,568
  4. Step 4: Simplify right side
    487,032x = 530,811,330,624
  5. Step 5: Solve for x
    x = 530,811,330,624/487,032
  6. Step 6: Final answer
    x = 1,089,890.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.