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Finding the Third Proportional to 297,161 and 642,755

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Solution

The third proportional to 297,161 and 642,755 is: 1,390,269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,161 : 642,755 = 642,755 : x
  2. Step 2: Convert to fraction form
    297,161/642,755 = 642,755/x
  3. Step 3: Cross multiply
    297,161x = 642,755 × 642,755
  4. Step 4: Simplify right side
    297,161x = 413,133,990,025
  5. Step 5: Solve for x
    x = 413,133,990,025/297,161
  6. Step 6: Final answer
    x = 1,390,269.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.