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Finding the Third Proportional to 419,709.75 and 899,305.50

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Solution

The third proportional to 419,709.75 and 899,305.50 is: 1,926,927.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,709.75 : 899,305.50 = 899,305.50 : x
  2. Step 2: Convert to fraction form
    419,709.75/899,305.50 = 899,305.50/x
  3. Step 3: Cross multiply
    419,709.75x = 899,305.50 × 899,305.50
  4. Step 4: Simplify right side
    419,709.75x = 808,750,382,330.25
  5. Step 5: Solve for x
    x = 808,750,382,330.25/419,709.75
  6. Step 6: Final answer
    x = 1,926,927.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.