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Finding the Third Proportional to 296,889 and 647,059

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Solution

The third proportional to 296,889 and 647,059 is: 1,410,242.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,889 : 647,059 = 647,059 : x
  2. Step 2: Convert to fraction form
    296,889/647,059 = 647,059/x
  3. Step 3: Cross multiply
    296,889x = 647,059 × 647,059
  4. Step 4: Simplify right side
    296,889x = 418,685,349,481
  5. Step 5: Solve for x
    x = 418,685,349,481/296,889
  6. Step 6: Final answer
    x = 1,410,242.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.