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Finding the Third Proportional to 309,902 and 671,968

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Solution

The third proportional to 309,902 and 671,968 is: 1,457,044.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,902 : 671,968 = 671,968 : x
  2. Step 2: Convert to fraction form
    309,902/671,968 = 671,968/x
  3. Step 3: Cross multiply
    309,902x = 671,968 × 671,968
  4. Step 4: Simplify right side
    309,902x = 451,540,993,024
  5. Step 5: Solve for x
    x = 451,540,993,024/309,902
  6. Step 6: Final answer
    x = 1,457,044.46

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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.