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Finding the Third Proportional to 542,826 and 843,564

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Solution

The third proportional to 542,826 and 843,564 is: 1,310,917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,826 : 843,564 = 843,564 : x
  2. Step 2: Convert to fraction form
    542,826/843,564 = 843,564/x
  3. Step 3: Cross multiply
    542,826x = 843,564 × 843,564
  4. Step 4: Simplify right side
    542,826x = 711,600,222,096
  5. Step 5: Solve for x
    x = 711,600,222,096/542,826
  6. Step 6: Final answer
    x = 1,310,917.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.