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Finding the Third Proportional to 148,296 and 319,920

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Solution

The third proportional to 148,296 and 319,920 is: 690,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,296 : 319,920 = 319,920 : x
  2. Step 2: Convert to fraction form
    148,296/319,920 = 319,920/x
  3. Step 3: Cross multiply
    148,296x = 319,920 × 319,920
  4. Step 4: Simplify right side
    148,296x = 102,348,806,400
  5. Step 5: Solve for x
    x = 102,348,806,400/148,296
  6. Step 6: Final answer
    x = 690,165.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.