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Finding the Third Proportional to 304,722 and 656,272

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Solution

The third proportional to 304,722 and 656,272 is: 1,413,396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,722 : 656,272 = 656,272 : x
  2. Step 2: Convert to fraction form
    304,722/656,272 = 656,272/x
  3. Step 3: Cross multiply
    304,722x = 656,272 × 656,272
  4. Step 4: Simplify right side
    304,722x = 430,692,937,984
  5. Step 5: Solve for x
    x = 430,692,937,984/304,722
  6. Step 6: Final answer
    x = 1,413,396.27

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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.