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Finding the Third Proportional to 843,345 and 1,815,642

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Solution

The third proportional to 843,345 and 1,815,642 is: 3,908,905.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,345 : 1,815,642 = 1,815,642 : x
  2. Step 2: Convert to fraction form
    843,345/1,815,642 = 1,815,642/x
  3. Step 3: Cross multiply
    843,345x = 1,815,642 × 1,815,642
  4. Step 4: Simplify right side
    843,345x = 3,296,555,872,164
  5. Step 5: Solve for x
    x = 3,296,555,872,164/843,345
  6. Step 6: Final answer
    x = 3,908,905.46

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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.