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Finding the Third Proportional to 310,869 and 680,040

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Solution

The third proportional to 310,869 and 680,040 is: 1,487,618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,869 : 680,040 = 680,040 : x
  2. Step 2: Convert to fraction form
    310,869/680,040 = 680,040/x
  3. Step 3: Cross multiply
    310,869x = 680,040 × 680,040
  4. Step 4: Simplify right side
    310,869x = 462,454,401,600
  5. Step 5: Solve for x
    x = 462,454,401,600/310,869
  6. Step 6: Final answer
    x = 1,487,618.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.