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Finding the Third Proportional to 296,370 and 647,172

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Solution

The third proportional to 296,370 and 647,172 is: 1,413,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,370 : 647,172 = 647,172 : x
  2. Step 2: Convert to fraction form
    296,370/647,172 = 647,172/x
  3. Step 3: Cross multiply
    296,370x = 647,172 × 647,172
  4. Step 4: Simplify right side
    296,370x = 418,831,597,584
  5. Step 5: Solve for x
    x = 418,831,597,584/296,370
  6. Step 6: Final answer
    x = 1,413,205.11

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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.