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Finding the Third Proportional to 283,764 and 472,940

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Solution

The third proportional to 283,764 and 472,940 is: 788,233.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,764 : 472,940 = 472,940 : x
  2. Step 2: Convert to fraction form
    283,764/472,940 = 472,940/x
  3. Step 3: Cross multiply
    283,764x = 472,940 × 472,940
  4. Step 4: Simplify right side
    283,764x = 223,672,243,600
  5. Step 5: Solve for x
    x = 223,672,243,600/283,764
  6. Step 6: Final answer
    x = 788,233.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.