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Finding the Third Proportional to 488,217 and 739,211

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Solution

The third proportional to 488,217 and 739,211 is: 1,119,241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,217 : 739,211 = 739,211 : x
  2. Step 2: Convert to fraction form
    488,217/739,211 = 739,211/x
  3. Step 3: Cross multiply
    488,217x = 739,211 × 739,211
  4. Step 4: Simplify right side
    488,217x = 546,432,902,521
  5. Step 5: Solve for x
    x = 546,432,902,521/488,217
  6. Step 6: Final answer
    x = 1,119,241.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.