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Finding the Third Proportional to 156,383 and 334,909

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Solution

The third proportional to 156,383 and 334,909 is: 717,239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,383 : 334,909 = 334,909 : x
  2. Step 2: Convert to fraction form
    156,383/334,909 = 334,909/x
  3. Step 3: Cross multiply
    156,383x = 334,909 × 334,909
  4. Step 4: Simplify right side
    156,383x = 112,164,038,281
  5. Step 5: Solve for x
    x = 112,164,038,281/156,383
  6. Step 6: Final answer
    x = 717,239.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.