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Finding the Third Proportional to 343,186.50 and 521,775

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Solution

The third proportional to 343,186.50 and 521,775 is: 793,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,186.50 : 521,775 = 521,775 : x
  2. Step 2: Convert to fraction form
    343,186.50/521,775 = 521,775/x
  3. Step 3: Cross multiply
    343,186.50x = 521,775 × 521,775
  4. Step 4: Simplify right side
    343,186.50x = 272,249,150,625
  5. Step 5: Solve for x
    x = 272,249,150,625/343,186.50
  6. Step 6: Final answer
    x = 793,297.96

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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.