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Finding the Third Proportional to 405,881 and 880,927

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Solution

The third proportional to 405,881 and 880,927 is: 1,911,970.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,881 : 880,927 = 880,927 : x
  2. Step 2: Convert to fraction form
    405,881/880,927 = 880,927/x
  3. Step 3: Cross multiply
    405,881x = 880,927 × 880,927
  4. Step 4: Simplify right side
    405,881x = 776,032,379,329
  5. Step 5: Solve for x
    x = 776,032,379,329/405,881
  6. Step 6: Final answer
    x = 1,911,970.21

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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.