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Finding the Third Proportional to 340,920 and 756,360

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Solution

The third proportional to 340,920 and 756,360 is: 1,678,048.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,920 : 756,360 = 756,360 : x
  2. Step 2: Convert to fraction form
    340,920/756,360 = 756,360/x
  3. Step 3: Cross multiply
    340,920x = 756,360 × 756,360
  4. Step 4: Simplify right side
    340,920x = 572,080,449,600
  5. Step 5: Solve for x
    x = 572,080,449,600/340,920
  6. Step 6: Final answer
    x = 1,678,048.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.