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Finding the Third Proportional to 339,076.13 and 515,403

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Solution

The third proportional to 339,076.13 and 515,403 is: 783,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,076.13 : 515,403 = 515,403 : x
  2. Step 2: Convert to fraction form
    339,076.13/515,403 = 515,403/x
  3. Step 3: Cross multiply
    339,076.13x = 515,403 × 515,403
  4. Step 4: Simplify right side
    339,076.13x = 265,640,252,409
  5. Step 5: Solve for x
    x = 265,640,252,409/339,076.13
  6. Step 6: Final answer
    x = 783,423.64

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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.