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Finding the Third Proportional to 419,995.13 and 905,600.25

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Solution

The third proportional to 419,995.13 and 905,600.25 is: 1,952,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,995.13 : 905,600.25 = 905,600.25 : x
  2. Step 2: Convert to fraction form
    419,995.13/905,600.25 = 905,600.25/x
  3. Step 3: Cross multiply
    419,995.13x = 905,600.25 × 905,600.25
  4. Step 4: Simplify right side
    419,995.13x = 820,111,812,800.06
  5. Step 5: Solve for x
    x = 820,111,812,800.06/419,995.13
  6. Step 6: Final answer
    x = 1,952,669.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.