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Finding the Third Proportional to 405,905 and 880,980

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Solution

The third proportional to 405,905 and 880,980 is: 1,912,087.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,905 : 880,980 = 880,980 : x
  2. Step 2: Convert to fraction form
    405,905/880,980 = 880,980/x
  3. Step 3: Cross multiply
    405,905x = 880,980 × 880,980
  4. Step 4: Simplify right side
    405,905x = 776,125,760,400
  5. Step 5: Solve for x
    x = 776,125,760,400/405,905
  6. Step 6: Final answer
    x = 1,912,087.21

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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.