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Finding the Third Proportional to 240,578 and 336,343

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Solution

The third proportional to 240,578 and 336,343 is: 470,228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,578 : 336,343 = 336,343 : x
  2. Step 2: Convert to fraction form
    240,578/336,343 = 336,343/x
  3. Step 3: Cross multiply
    240,578x = 336,343 × 336,343
  4. Step 4: Simplify right side
    240,578x = 113,126,613,649
  5. Step 5: Solve for x
    x = 113,126,613,649/240,578
  6. Step 6: Final answer
    x = 470,228.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.