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Finding the Third Proportional to 71,821,975.50 and 111,438,222.75

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Solution

The third proportional to 71,821,975.50 and 111,438,222.75 is: 172,906,375.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,821,975.50 : 111,438,222.75 = 111,438,222.75 : x
  2. Step 2: Convert to fraction form
    71,821,975.50/111,438,222.75 = 111,438,222.75/x
  3. Step 3: Cross multiply
    71,821,975.50x = 111,438,222.75 × 111,438,222.75
  4. Step 4: Simplify right side
    71,821,975.50x = 12,418,477,489,678,618
  5. Step 5: Solve for x
    x = 12,418,477,489,678,618/71,821,975.50
  6. Step 6: Final answer
    x = 172,906,375.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.