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Finding the Third Proportional to 611,121 and 1,315,857

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Solution

The third proportional to 611,121 and 1,315,857 is: 2,833,284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,121 : 1,315,857 = 1,315,857 : x
  2. Step 2: Convert to fraction form
    611,121/1,315,857 = 1,315,857/x
  3. Step 3: Cross multiply
    611,121x = 1,315,857 × 1,315,857
  4. Step 4: Simplify right side
    611,121x = 1,731,479,644,449
  5. Step 5: Solve for x
    x = 1,731,479,644,449/611,121
  6. Step 6: Final answer
    x = 2,833,284.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.