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Finding the Third Proportional to 343,784.25 and 516,324.38

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Solution

The third proportional to 343,784.25 and 516,324.38 is: 775,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,784.25 : 516,324.38 = 516,324.38 : x
  2. Step 2: Convert to fraction form
    343,784.25/516,324.38 = 516,324.38/x
  3. Step 3: Cross multiply
    343,784.25x = 516,324.38 × 516,324.38
  4. Step 4: Simplify right side
    343,784.25x = 266,590,860,219.14
  5. Step 5: Solve for x
    x = 266,590,860,219.14/343,784.25
  6. Step 6: Final answer
    x = 775,459.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.