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Finding the Third Proportional to 156,852 and 343,721

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Solution

The third proportional to 156,852 and 343,721 is: 753,220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,852 : 343,721 = 343,721 : x
  2. Step 2: Convert to fraction form
    156,852/343,721 = 343,721/x
  3. Step 3: Cross multiply
    156,852x = 343,721 × 343,721
  4. Step 4: Simplify right side
    156,852x = 118,144,125,841
  5. Step 5: Solve for x
    x = 118,144,125,841/156,852
  6. Step 6: Final answer
    x = 753,220.40

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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.