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Finding the Third Proportional to 293,678 and 423,987

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Solution

The third proportional to 293,678 and 423,987 is: 612,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,678 : 423,987 = 423,987 : x
  2. Step 2: Convert to fraction form
    293,678/423,987 = 423,987/x
  3. Step 3: Cross multiply
    293,678x = 423,987 × 423,987
  4. Step 4: Simplify right side
    293,678x = 179,764,976,169
  5. Step 5: Solve for x
    x = 179,764,976,169/293,678
  6. Step 6: Final answer
    x = 612,115.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.