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Finding the Third Proportional to 339,139.88 and 539,844.19

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Solution

The third proportional to 339,139.88 and 539,844.19 is: 859,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,139.88 : 539,844.19 = 539,844.19 : x
  2. Step 2: Convert to fraction form
    339,139.88/539,844.19 = 539,844.19/x
  3. Step 3: Cross multiply
    339,139.88x = 539,844.19 × 539,844.19
  4. Step 4: Simplify right side
    339,139.88x = 291,431,746,777.54
  5. Step 5: Solve for x
    x = 291,431,746,777.54/339,139.88
  6. Step 6: Final answer
    x = 859,326.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.