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Finding the Third Proportional to 400,980 and 880,764

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Solution

The third proportional to 400,980 and 880,764 is: 1,934,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,980 : 880,764 = 880,764 : x
  2. Step 2: Convert to fraction form
    400,980/880,764 = 880,764/x
  3. Step 3: Cross multiply
    400,980x = 880,764 × 880,764
  4. Step 4: Simplify right side
    400,980x = 775,745,223,696
  5. Step 5: Solve for x
    x = 775,745,223,696/400,980
  6. Step 6: Final answer
    x = 1,934,623.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.