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Finding the Third Proportional to 313,426 and 686,942

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Solution

The third proportional to 313,426 and 686,942 is: 1,505,584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,426 : 686,942 = 686,942 : x
  2. Step 2: Convert to fraction form
    313,426/686,942 = 686,942/x
  3. Step 3: Cross multiply
    313,426x = 686,942 × 686,942
  4. Step 4: Simplify right side
    313,426x = 471,889,311,364
  5. Step 5: Solve for x
    x = 471,889,311,364/313,426
  6. Step 6: Final answer
    x = 1,505,584.45

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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.