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Finding the Third Proportional to 80,437,468 and 172,211,912

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Solution

The third proportional to 80,437,468 and 172,211,912 is: 368,695,626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,437,468 : 172,211,912 = 172,211,912 : x
  2. Step 2: Convert to fraction form
    80,437,468/172,211,912 = 172,211,912/x
  3. Step 3: Cross multiply
    80,437,468x = 172,211,912 × 172,211,912
  4. Step 4: Simplify right side
    80,437,468x = 29,656,942,634,695,744
  5. Step 5: Solve for x
    x = 29,656,942,634,695,744/80,437,468
  6. Step 6: Final answer
    x = 368,695,626.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.