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Finding the Third Proportional to 339,076.13 and 520,779.38

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Solution

The third proportional to 339,076.13 and 520,779.38 is: 799,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,076.13 : 520,779.38 = 520,779.38 : x
  2. Step 2: Convert to fraction form
    339,076.13/520,779.38 = 520,779.38/x
  3. Step 3: Cross multiply
    339,076.13x = 520,779.38 × 520,779.38
  4. Step 4: Simplify right side
    339,076.13x = 271,211,157,425.39
  5. Step 5: Solve for x
    x = 271,211,157,425.39/339,076.13
  6. Step 6: Final answer
    x = 799,853.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.