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Finding the Third Proportional to 283,788 and 439,425

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Solution

The third proportional to 283,788 and 439,425 is: 680,417.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,788 : 439,425 = 439,425 : x
  2. Step 2: Convert to fraction form
    283,788/439,425 = 439,425/x
  3. Step 3: Cross multiply
    283,788x = 439,425 × 439,425
  4. Step 4: Simplify right side
    283,788x = 193,094,330,625
  5. Step 5: Solve for x
    x = 193,094,330,625/283,788
  6. Step 6: Final answer
    x = 680,417.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.