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Finding the Third Proportional to 820,271.25 and 1,284,168.38

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Solution

The third proportional to 820,271.25 and 1,284,168.38 is: 2,010,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,271.25 : 1,284,168.38 = 1,284,168.38 : x
  2. Step 2: Convert to fraction form
    820,271.25/1,284,168.38 = 1,284,168.38/x
  3. Step 3: Cross multiply
    820,271.25x = 1,284,168.38 × 1,284,168.38
  4. Step 4: Simplify right side
    820,271.25x = 1,649,088,415,350.14
  5. Step 5: Solve for x
    x = 1,649,088,415,350.14/820,271.25
  6. Step 6: Final answer
    x = 2,010,418.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.