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Finding the Third Proportional to 319,869 and 684,030

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Solution

The third proportional to 319,869 and 684,030 is: 1,462,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,869 : 684,030 = 684,030 : x
  2. Step 2: Convert to fraction form
    319,869/684,030 = 684,030/x
  3. Step 3: Cross multiply
    319,869x = 684,030 × 684,030
  4. Step 4: Simplify right side
    319,869x = 467,897,040,900
  5. Step 5: Solve for x
    x = 467,897,040,900/319,869
  6. Step 6: Final answer
    x = 1,462,777.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.