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Finding the Third Proportional to 309,164 and 671,203

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Solution

The third proportional to 309,164 and 671,203 is: 1,457,198.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,164 : 671,203 = 671,203 : x
  2. Step 2: Convert to fraction form
    309,164/671,203 = 671,203/x
  3. Step 3: Cross multiply
    309,164x = 671,203 × 671,203
  4. Step 4: Simplify right side
    309,164x = 450,513,467,209
  5. Step 5: Solve for x
    x = 450,513,467,209/309,164
  6. Step 6: Final answer
    x = 1,457,198.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.