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Finding the Third Proportional to 319,098 and 680,433

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Solution

The third proportional to 319,098 and 680,433 is: 1,450,930.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,098 : 680,433 = 680,433 : x
  2. Step 2: Convert to fraction form
    319,098/680,433 = 680,433/x
  3. Step 3: Cross multiply
    319,098x = 680,433 × 680,433
  4. Step 4: Simplify right side
    319,098x = 462,989,067,489
  5. Step 5: Solve for x
    x = 462,989,067,489/319,098
  6. Step 6: Final answer
    x = 1,450,930.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.