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Finding the Third Proportional to 326,577 and 494,787

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Solution

The third proportional to 326,577 and 494,787 is: 749,636.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,577 : 494,787 = 494,787 : x
  2. Step 2: Convert to fraction form
    326,577/494,787 = 494,787/x
  3. Step 3: Cross multiply
    326,577x = 494,787 × 494,787
  4. Step 4: Simplify right side
    326,577x = 244,814,175,369
  5. Step 5: Solve for x
    x = 244,814,175,369/326,577
  6. Step 6: Final answer
    x = 749,636.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.