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Finding the Third Proportional to 339,906 and 539,855

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Solution

The third proportional to 339,906 and 539,855 is: 857,423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,906 : 539,855 = 539,855 : x
  2. Step 2: Convert to fraction form
    339,906/539,855 = 539,855/x
  3. Step 3: Cross multiply
    339,906x = 539,855 × 539,855
  4. Step 4: Simplify right side
    339,906x = 291,443,421,025
  5. Step 5: Solve for x
    x = 291,443,421,025/339,906
  6. Step 6: Final answer
    x = 857,423.58

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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.