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Finding the Third Proportional to 310,834.97 and 686,998.97

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Solution

The third proportional to 310,834.97 and 686,998.97 is: 1,518,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,834.97 : 686,998.97 = 686,998.97 : x
  2. Step 2: Convert to fraction form
    310,834.97/686,998.97 = 686,998.97/x
  3. Step 3: Cross multiply
    310,834.97x = 686,998.97 × 686,998.97
  4. Step 4: Simplify right side
    310,834.97x = 471,967,583,063.56
  5. Step 5: Solve for x
    x = 471,967,583,063.56/310,834.97
  6. Step 6: Final answer
    x = 1,518,386.38

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.