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Finding the Third Proportional to 296,898 and 647,076

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Solution

The third proportional to 296,898 and 647,076 is: 1,410,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,898 : 647,076 = 647,076 : x
  2. Step 2: Convert to fraction form
    296,898/647,076 = 647,076/x
  3. Step 3: Cross multiply
    296,898x = 647,076 × 647,076
  4. Step 4: Simplify right side
    296,898x = 418,707,349,776
  5. Step 5: Solve for x
    x = 418,707,349,776/296,898
  6. Step 6: Final answer
    x = 1,410,273.39

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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.