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Finding the Third Proportional to 66,172,380 and 100,109,636

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Solution

The third proportional to 66,172,380 and 100,109,636 is: 151,451,998.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,172,380 : 100,109,636 = 100,109,636 : x
  2. Step 2: Convert to fraction form
    66,172,380/100,109,636 = 100,109,636/x
  3. Step 3: Cross multiply
    66,172,380x = 100,109,636 × 100,109,636
  4. Step 4: Simplify right side
    66,172,380x = 10,021,939,220,052,496
  5. Step 5: Solve for x
    x = 10,021,939,220,052,496/66,172,380
  6. Step 6: Final answer
    x = 151,451,998.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.