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Finding the Third Proportional to 156,737 and 342,634

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Solution

The third proportional to 156,737 and 342,634 is: 749,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,737 : 342,634 = 342,634 : x
  2. Step 2: Convert to fraction form
    156,737/342,634 = 342,634/x
  3. Step 3: Cross multiply
    156,737x = 342,634 × 342,634
  4. Step 4: Simplify right side
    156,737x = 117,398,057,956
  5. Step 5: Solve for x
    x = 117,398,057,956/156,737
  6. Step 6: Final answer
    x = 749,013.05

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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.