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Finding the Third Proportional to 647,272 and 1,376,192

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Solution

The third proportional to 647,272 and 1,376,192 is: 2,925,979.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,272 : 1,376,192 = 1,376,192 : x
  2. Step 2: Convert to fraction form
    647,272/1,376,192 = 1,376,192/x
  3. Step 3: Cross multiply
    647,272x = 1,376,192 × 1,376,192
  4. Step 4: Simplify right side
    647,272x = 1,893,904,420,864
  5. Step 5: Solve for x
    x = 1,893,904,420,864/647,272
  6. Step 6: Final answer
    x = 2,925,979.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.