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Finding the Third Proportional to 148,082 and 319,806

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Solution

The third proportional to 148,082 and 319,806 is: 690,670.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,082 : 319,806 = 319,806 : x
  2. Step 2: Convert to fraction form
    148,082/319,806 = 319,806/x
  3. Step 3: Cross multiply
    148,082x = 319,806 × 319,806
  4. Step 4: Simplify right side
    148,082x = 102,275,877,636
  5. Step 5: Solve for x
    x = 102,275,877,636/148,082
  6. Step 6: Final answer
    x = 690,670.56

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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.