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Finding the Third Proportional to 313,434 and 679,356

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Solution

The third proportional to 313,434 and 679,356 is: 1,472,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,434 : 679,356 = 679,356 : x
  2. Step 2: Convert to fraction form
    313,434/679,356 = 679,356/x
  3. Step 3: Cross multiply
    313,434x = 679,356 × 679,356
  4. Step 4: Simplify right side
    313,434x = 461,524,574,736
  5. Step 5: Solve for x
    x = 461,524,574,736/313,434
  6. Step 6: Final answer
    x = 1,472,477.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.