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Finding the Third Proportional to 156,904 and 239,460

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Solution

The third proportional to 156,904 and 239,460 is: 365,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,904 : 239,460 = 239,460 : x
  2. Step 2: Convert to fraction form
    156,904/239,460 = 239,460/x
  3. Step 3: Cross multiply
    156,904x = 239,460 × 239,460
  4. Step 4: Simplify right side
    156,904x = 57,341,091,600
  5. Step 5: Solve for x
    x = 57,341,091,600/156,904
  6. Step 6: Final answer
    x = 365,453.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.