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Finding the Third Proportional to 283,872 and 439,476

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Solution

The third proportional to 283,872 and 439,476 is: 680,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,872 : 439,476 = 439,476 : x
  2. Step 2: Convert to fraction form
    283,872/439,476 = 439,476/x
  3. Step 3: Cross multiply
    283,872x = 439,476 × 439,476
  4. Step 4: Simplify right side
    283,872x = 193,139,154,576
  5. Step 5: Solve for x
    x = 193,139,154,576/283,872
  6. Step 6: Final answer
    x = 680,374.09

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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.