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Finding the Third Proportional to 156,984 and 339,240

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Solution

The third proportional to 156,984 and 339,240 is: 733,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,984 : 339,240 = 339,240 : x
  2. Step 2: Convert to fraction form
    156,984/339,240 = 339,240/x
  3. Step 3: Cross multiply
    156,984x = 339,240 × 339,240
  4. Step 4: Simplify right side
    156,984x = 115,083,777,600
  5. Step 5: Solve for x
    x = 115,083,777,600/156,984
  6. Step 6: Final answer
    x = 733,092.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.