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Finding the Third Proportional to 297,820 and 637,192

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Solution

The third proportional to 297,820 and 637,192 is: 1,363,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,820 : 637,192 = 637,192 : x
  2. Step 2: Convert to fraction form
    297,820/637,192 = 637,192/x
  3. Step 3: Cross multiply
    297,820x = 637,192 × 637,192
  4. Step 4: Simplify right side
    297,820x = 406,013,644,864
  5. Step 5: Solve for x
    x = 406,013,644,864/297,820
  6. Step 6: Final answer
    x = 1,363,285.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.