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Finding the Third Proportional to 297,657 and 447,147

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Solution

The third proportional to 297,657 and 447,147 is: 671,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,657 : 447,147 = 447,147 : x
  2. Step 2: Convert to fraction form
    297,657/447,147 = 447,147/x
  3. Step 3: Cross multiply
    297,657x = 447,147 × 447,147
  4. Step 4: Simplify right side
    297,657x = 199,940,439,609
  5. Step 5: Solve for x
    x = 199,940,439,609/297,657
  6. Step 6: Final answer
    x = 671,714.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.