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Finding the Third Proportional to 339,602 and 497,370

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Solution

The third proportional to 339,602 and 497,370 is: 728,431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,602 : 497,370 = 497,370 : x
  2. Step 2: Convert to fraction form
    339,602/497,370 = 497,370/x
  3. Step 3: Cross multiply
    339,602x = 497,370 × 497,370
  4. Step 4: Simplify right side
    339,602x = 247,376,916,900
  5. Step 5: Solve for x
    x = 247,376,916,900/339,602
  6. Step 6: Final answer
    x = 728,431.86

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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.