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Finding the Third Proportional to 384,782 and 843,445

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Solution

The third proportional to 384,782 and 843,445 is: 1,848,837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,782 : 843,445 = 843,445 : x
  2. Step 2: Convert to fraction form
    384,782/843,445 = 843,445/x
  3. Step 3: Cross multiply
    384,782x = 843,445 × 843,445
  4. Step 4: Simplify right side
    384,782x = 711,399,468,025
  5. Step 5: Solve for x
    x = 711,399,468,025/384,782
  6. Step 6: Final answer
    x = 1,848,837.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.