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Finding the Third Proportional to 319,082 and 690,996

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Solution

The third proportional to 319,082 and 690,996 is: 1,496,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,082 : 690,996 = 690,996 : x
  2. Step 2: Convert to fraction form
    319,082/690,996 = 690,996/x
  3. Step 3: Cross multiply
    319,082x = 690,996 × 690,996
  4. Step 4: Simplify right side
    319,082x = 477,475,472,016
  5. Step 5: Solve for x
    x = 477,475,472,016/319,082
  6. Step 6: Final answer
    x = 1,496,403.66

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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.