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Finding the Third Proportional to 71,902.69 and 156,783.09

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Solution

The third proportional to 71,902.69 and 156,783.09 is: 341,863.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,902.69 : 156,783.09 = 156,783.09 : x
  2. Step 2: Convert to fraction form
    71,902.69/156,783.09 = 156,783.09/x
  3. Step 3: Cross multiply
    71,902.69x = 156,783.09 × 156,783.09
  4. Step 4: Simplify right side
    71,902.69x = 24,580,938,485.82
  5. Step 5: Solve for x
    x = 24,580,938,485.82/71,902.69
  6. Step 6: Final answer
    x = 341,863.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.