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Finding the Third Proportional to 121,940 and 293,738

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Solution

The third proportional to 121,940 and 293,738 is: 707,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,940 : 293,738 = 293,738 : x
  2. Step 2: Convert to fraction form
    121,940/293,738 = 293,738/x
  3. Step 3: Cross multiply
    121,940x = 293,738 × 293,738
  4. Step 4: Simplify right side
    121,940x = 86,282,012,644
  5. Step 5: Solve for x
    x = 86,282,012,644/121,940
  6. Step 6: Final answer
    x = 707,577.60

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.