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Finding the Third Proportional to 820,276 and 1,284,176

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Solution

The third proportional to 820,276 and 1,284,176 is: 2,010,430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,276 : 1,284,176 = 1,284,176 : x
  2. Step 2: Convert to fraction form
    820,276/1,284,176 = 1,284,176/x
  3. Step 3: Cross multiply
    820,276x = 1,284,176 × 1,284,176
  4. Step 4: Simplify right side
    820,276x = 1,649,107,998,976
  5. Step 5: Solve for x
    x = 1,649,107,998,976/820,276
  6. Step 6: Final answer
    x = 2,010,430.63

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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.