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Finding the Third Proportional to 156,009 and 319,410

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Solution

The third proportional to 156,009 and 319,410 is: 653,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,009 : 319,410 = 319,410 : x
  2. Step 2: Convert to fraction form
    156,009/319,410 = 319,410/x
  3. Step 3: Cross multiply
    156,009x = 319,410 × 319,410
  4. Step 4: Simplify right side
    156,009x = 102,022,748,100
  5. Step 5: Solve for x
    x = 102,022,748,100/156,009
  6. Step 6: Final answer
    x = 653,954.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.