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Finding the Third Proportional to 283,773 and 593,829

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Solution

The third proportional to 283,773 and 593,829 is: 1,242,658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,773 : 593,829 = 593,829 : x
  2. Step 2: Convert to fraction form
    283,773/593,829 = 593,829/x
  3. Step 3: Cross multiply
    283,773x = 593,829 × 593,829
  4. Step 4: Simplify right side
    283,773x = 352,632,881,241
  5. Step 5: Solve for x
    x = 352,632,881,241/283,773
  6. Step 6: Final answer
    x = 1,242,658.33

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.