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Finding the Third Proportional to 369,728 and 756,980

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Solution

The third proportional to 369,728 and 756,980 is: 1,549,838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,728 : 756,980 = 756,980 : x
  2. Step 2: Convert to fraction form
    369,728/756,980 = 756,980/x
  3. Step 3: Cross multiply
    369,728x = 756,980 × 756,980
  4. Step 4: Simplify right side
    369,728x = 573,018,720,400
  5. Step 5: Solve for x
    x = 573,018,720,400/369,728
  6. Step 6: Final answer
    x = 1,549,838.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.