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Finding the Third Proportional to 309,983 and 657,170

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Solution

The third proportional to 309,983 and 657,170 is: 1,393,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,983 : 657,170 = 657,170 : x
  2. Step 2: Convert to fraction form
    309,983/657,170 = 657,170/x
  3. Step 3: Cross multiply
    309,983x = 657,170 × 657,170
  4. Step 4: Simplify right side
    309,983x = 431,872,408,900
  5. Step 5: Solve for x
    x = 431,872,408,900/309,983
  6. Step 6: Final answer
    x = 1,393,213.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.