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Finding the Third Proportional to 294,633 and 641,763

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Solution

The third proportional to 294,633 and 641,763 is: 1,397,873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,633 : 641,763 = 641,763 : x
  2. Step 2: Convert to fraction form
    294,633/641,763 = 641,763/x
  3. Step 3: Cross multiply
    294,633x = 641,763 × 641,763
  4. Step 4: Simplify right side
    294,633x = 411,859,748,169
  5. Step 5: Solve for x
    x = 411,859,748,169/294,633
  6. Step 6: Final answer
    x = 1,397,873.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.