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Finding the Third Proportional to 313,436 and 679,360

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Solution

The third proportional to 313,436 and 679,360 is: 1,472,485.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,436 : 679,360 = 679,360 : x
  2. Step 2: Convert to fraction form
    313,436/679,360 = 679,360/x
  3. Step 3: Cross multiply
    313,436x = 679,360 × 679,360
  4. Step 4: Simplify right side
    313,436x = 461,530,009,600
  5. Step 5: Solve for x
    x = 461,530,009,600/313,436
  6. Step 6: Final answer
    x = 1,472,485.64

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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.