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Finding the Third Proportional to 272,814 and 637,203

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Solution

The third proportional to 272,814 and 637,203 is: 1,488,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,814 : 637,203 = 637,203 : x
  2. Step 2: Convert to fraction form
    272,814/637,203 = 637,203/x
  3. Step 3: Cross multiply
    272,814x = 637,203 × 637,203
  4. Step 4: Simplify right side
    272,814x = 406,027,663,209
  5. Step 5: Solve for x
    x = 406,027,663,209/272,814
  6. Step 6: Final answer
    x = 1,488,294.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.