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Finding the Third Proportional to 156,009 and 304,242

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Solution

The third proportional to 156,009 and 304,242 is: 593,319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,009 : 304,242 = 304,242 : x
  2. Step 2: Convert to fraction form
    156,009/304,242 = 304,242/x
  3. Step 3: Cross multiply
    156,009x = 304,242 × 304,242
  4. Step 4: Simplify right side
    156,009x = 92,563,194,564
  5. Step 5: Solve for x
    x = 92,563,194,564/156,009
  6. Step 6: Final answer
    x = 593,319.58

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.