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Finding the Third Proportional to 337,956 and 472,488

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Solution

The third proportional to 337,956 and 472,488 is: 660,573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,956 : 472,488 = 472,488 : x
  2. Step 2: Convert to fraction form
    337,956/472,488 = 472,488/x
  3. Step 3: Cross multiply
    337,956x = 472,488 × 472,488
  4. Step 4: Simplify right side
    337,956x = 223,244,910,144
  5. Step 5: Solve for x
    x = 223,244,910,144/337,956
  6. Step 6: Final answer
    x = 660,573.89

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.