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Finding the Third Proportional to 156,009 and 335,358

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Solution

The third proportional to 156,009 and 335,358 is: 720,887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,009 : 335,358 = 335,358 : x
  2. Step 2: Convert to fraction form
    156,009/335,358 = 335,358/x
  3. Step 3: Cross multiply
    156,009x = 335,358 × 335,358
  4. Step 4: Simplify right side
    156,009x = 112,464,988,164
  5. Step 5: Solve for x
    x = 112,464,988,164/156,009
  6. Step 6: Final answer
    x = 720,887.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.