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Finding the Third Proportional to 405,918 and 880,989

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Solution

The third proportional to 405,918 and 880,989 is: 1,912,065.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,918 : 880,989 = 880,989 : x
  2. Step 2: Convert to fraction form
    405,918/880,989 = 880,989/x
  3. Step 3: Cross multiply
    405,918x = 880,989 × 880,989
  4. Step 4: Simplify right side
    405,918x = 776,141,618,121
  5. Step 5: Solve for x
    x = 776,141,618,121/405,918
  6. Step 6: Final answer
    x = 1,912,065.04

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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.