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Finding the Third Proportional to 237,920 and 322,969

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Solution

The third proportional to 237,920 and 322,969 is: 438,420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,920 : 322,969 = 322,969 : x
  2. Step 2: Convert to fraction form
    237,920/322,969 = 322,969/x
  3. Step 3: Cross multiply
    237,920x = 322,969 × 322,969
  4. Step 4: Simplify right side
    237,920x = 104,308,974,961
  5. Step 5: Solve for x
    x = 104,308,974,961/237,920
  6. Step 6: Final answer
    x = 438,420.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.