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Finding the Third Proportional to 301,725 and 647,261

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Solution

The third proportional to 301,725 and 647,261 is: 1,388,505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,725 : 647,261 = 647,261 : x
  2. Step 2: Convert to fraction form
    301,725/647,261 = 647,261/x
  3. Step 3: Cross multiply
    301,725x = 647,261 × 647,261
  4. Step 4: Simplify right side
    301,725x = 418,946,802,121
  5. Step 5: Solve for x
    x = 418,946,802,121/301,725
  6. Step 6: Final answer
    x = 1,388,505.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.