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Finding the Third Proportional to 156,021.75 and 342,472.50

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Solution

The third proportional to 156,021.75 and 342,472.50 is: 751,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,021.75 : 342,472.50 = 342,472.50 : x
  2. Step 2: Convert to fraction form
    156,021.75/342,472.50 = 342,472.50/x
  3. Step 3: Cross multiply
    156,021.75x = 342,472.50 × 342,472.50
  4. Step 4: Simplify right side
    156,021.75x = 117,287,413,256.25
  5. Step 5: Solve for x
    x = 117,287,413,256.25/156,021.75
  6. Step 6: Final answer
    x = 751,737.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.