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Finding the Third Proportional to 148,305 and 319,938

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Solution

The third proportional to 148,305 and 319,938 is: 690,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,305 : 319,938 = 319,938 : x
  2. Step 2: Convert to fraction form
    148,305/319,938 = 319,938/x
  3. Step 3: Cross multiply
    148,305x = 319,938 × 319,938
  4. Step 4: Simplify right side
    148,305x = 102,360,323,844
  5. Step 5: Solve for x
    x = 102,360,323,844/148,305
  6. Step 6: Final answer
    x = 690,201.44

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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.