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Finding the Third Proportional to 373,920 and 810,930

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Solution

The third proportional to 373,920 and 810,930 is: 1,758,684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,920 : 810,930 = 810,930 : x
  2. Step 2: Convert to fraction form
    373,920/810,930 = 810,930/x
  3. Step 3: Cross multiply
    373,920x = 810,930 × 810,930
  4. Step 4: Simplify right side
    373,920x = 657,607,464,900
  5. Step 5: Solve for x
    x = 657,607,464,900/373,920
  6. Step 6: Final answer
    x = 1,758,684.92

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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.