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Finding the Third Proportional to 304,721 and 656,271

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Solution

The third proportional to 304,721 and 656,271 is: 1,413,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,721 : 656,271 = 656,271 : x
  2. Step 2: Convert to fraction form
    304,721/656,271 = 656,271/x
  3. Step 3: Cross multiply
    304,721x = 656,271 × 656,271
  4. Step 4: Simplify right side
    304,721x = 430,691,625,441
  5. Step 5: Solve for x
    x = 430,691,625,441/304,721
  6. Step 6: Final answer
    x = 1,413,396.60

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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.