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Finding the Third Proportional to 270,810.84 and 419,338.27

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Solution

The third proportional to 270,810.84 and 419,338.27 is: 649,326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,810.84 : 419,338.27 = 419,338.27 : x
  2. Step 2: Convert to fraction form
    270,810.84/419,338.27 = 419,338.27/x
  3. Step 3: Cross multiply
    270,810.84x = 419,338.27 × 419,338.27
  4. Step 4: Simplify right side
    270,810.84x = 175,844,581,017.38
  5. Step 5: Solve for x
    x = 175,844,581,017.38/270,810.84
  6. Step 6: Final answer
    x = 649,326.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.