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Finding the Third Proportional to 156,925 and 343,009

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Solution

The third proportional to 156,925 and 343,009 is: 749,754.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,925 : 343,009 = 343,009 : x
  2. Step 2: Convert to fraction form
    156,925/343,009 = 343,009/x
  3. Step 3: Cross multiply
    156,925x = 343,009 × 343,009
  4. Step 4: Simplify right side
    156,925x = 117,655,174,081
  5. Step 5: Solve for x
    x = 117,655,174,081/156,925
  6. Step 6: Final answer
    x = 749,754.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.