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Finding the Third Proportional to 611,843 and 1,312,261

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Solution

The third proportional to 611,843 and 1,312,261 is: 2,814,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,843 : 1,312,261 = 1,312,261 : x
  2. Step 2: Convert to fraction form
    611,843/1,312,261 = 1,312,261/x
  3. Step 3: Cross multiply
    611,843x = 1,312,261 × 1,312,261
  4. Step 4: Simplify right side
    611,843x = 1,722,028,932,121
  5. Step 5: Solve for x
    x = 1,722,028,932,121/611,843
  6. Step 6: Final answer
    x = 2,814,494.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.