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Finding the Third Proportional to 324,270 and 487,444

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Solution

The third proportional to 324,270 and 487,444 is: 732,727.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,270 : 487,444 = 487,444 : x
  2. Step 2: Convert to fraction form
    324,270/487,444 = 487,444/x
  3. Step 3: Cross multiply
    324,270x = 487,444 × 487,444
  4. Step 4: Simplify right side
    324,270x = 237,601,653,136
  5. Step 5: Solve for x
    x = 237,601,653,136/324,270
  6. Step 6: Final answer
    x = 732,727.83

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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.