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Finding the Third Proportional to 319,434 and 494,541

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Solution

The third proportional to 319,434 and 494,541 is: 765,637.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,434 : 494,541 = 494,541 : x
  2. Step 2: Convert to fraction form
    319,434/494,541 = 494,541/x
  3. Step 3: Cross multiply
    319,434x = 494,541 × 494,541
  4. Step 4: Simplify right side
    319,434x = 244,570,800,681
  5. Step 5: Solve for x
    x = 244,570,800,681/319,434
  6. Step 6: Final answer
    x = 765,637.97

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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.