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Finding the Third Proportional to 405,880.03 and 880,923.94

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Solution

The third proportional to 405,880.03 and 880,923.94 is: 1,911,961.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,880.03 : 880,923.94 = 880,923.94 : x
  2. Step 2: Convert to fraction form
    405,880.03/880,923.94 = 880,923.94/x
  3. Step 3: Cross multiply
    405,880.03x = 880,923.94 × 880,923.94
  4. Step 4: Simplify right side
    405,880.03x = 776,026,983,660.50
  5. Step 5: Solve for x
    x = 776,026,983,660.50/405,880.03
  6. Step 6: Final answer
    x = 1,911,961.48

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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.