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Finding the Third Proportional to 420,553.69 and 912,093.75

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Solution

The third proportional to 420,553.69 and 912,093.75 is: 1,978,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,553.69 : 912,093.75 = 912,093.75 : x
  2. Step 2: Convert to fraction form
    420,553.69/912,093.75 = 912,093.75/x
  3. Step 3: Cross multiply
    420,553.69x = 912,093.75 × 912,093.75
  4. Step 4: Simplify right side
    420,553.69x = 831,915,008,789.06
  5. Step 5: Solve for x
    x = 831,915,008,789.06/420,553.69
  6. Step 6: Final answer
    x = 1,978,142.23

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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.