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Finding the Third Proportional to 326,642 and 513,291

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Solution

The third proportional to 326,642 and 513,291 is: 806,594.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,642 : 513,291 = 513,291 : x
  2. Step 2: Convert to fraction form
    326,642/513,291 = 513,291/x
  3. Step 3: Cross multiply
    326,642x = 513,291 × 513,291
  4. Step 4: Simplify right side
    326,642x = 263,467,650,681
  5. Step 5: Solve for x
    x = 263,467,650,681/326,642
  6. Step 6: Final answer
    x = 806,594.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.