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Finding the Third Proportional to 324,882 and 487,323

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Solution

The third proportional to 324,882 and 487,323 is: 730,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,882 : 487,323 = 487,323 : x
  2. Step 2: Convert to fraction form
    324,882/487,323 = 487,323/x
  3. Step 3: Cross multiply
    324,882x = 487,323 × 487,323
  4. Step 4: Simplify right side
    324,882x = 237,483,706,329
  5. Step 5: Solve for x
    x = 237,483,706,329/324,882
  6. Step 6: Final answer
    x = 730,984.50

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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.