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Finding the Third Proportional to 240,936 and 321,984

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Solution

The third proportional to 240,936 and 321,984 is: 430,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,936 : 321,984 = 321,984 : x
  2. Step 2: Convert to fraction form
    240,936/321,984 = 321,984/x
  3. Step 3: Cross multiply
    240,936x = 321,984 × 321,984
  4. Step 4: Simplify right side
    240,936x = 103,673,696,256
  5. Step 5: Solve for x
    x = 103,673,696,256/240,936
  6. Step 6: Final answer
    x = 430,295.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.