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Finding the Third Proportional to 293,679 and 641,283

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Solution

The third proportional to 293,679 and 641,283 is: 1,400,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,679 : 641,283 = 641,283 : x
  2. Step 2: Convert to fraction form
    293,679/641,283 = 641,283/x
  3. Step 3: Cross multiply
    293,679x = 641,283 × 641,283
  4. Step 4: Simplify right side
    293,679x = 411,243,886,089
  5. Step 5: Solve for x
    x = 411,243,886,089/293,679
  6. Step 6: Final answer
    x = 1,400,317.65

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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.