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Finding the Third Proportional to 820,270.13 and 1,284,166.69

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Solution

The third proportional to 820,270.13 and 1,284,166.69 is: 2,010,415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,270.13 : 1,284,166.69 = 1,284,166.69 : x
  2. Step 2: Convert to fraction form
    820,270.13/1,284,166.69 = 1,284,166.69/x
  3. Step 3: Cross multiply
    820,270.13x = 1,284,166.69 × 1,284,166.69
  4. Step 4: Simplify right side
    820,270.13x = 1,649,084,081,284.72
  5. Step 5: Solve for x
    x = 1,649,084,081,284.72/820,270.13
  6. Step 6: Final answer
    x = 2,010,415.88

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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.