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Finding the Third Proportional to 339,588 and 497,346

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Solution

The third proportional to 339,588 and 497,346 is: 728,391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,588 : 497,346 = 497,346 : x
  2. Step 2: Convert to fraction form
    339,588/497,346 = 497,346/x
  3. Step 3: Cross multiply
    339,588x = 497,346 × 497,346
  4. Step 4: Simplify right side
    339,588x = 247,353,043,716
  5. Step 5: Solve for x
    x = 247,353,043,716/339,588
  6. Step 6: Final answer
    x = 728,391.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.