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Finding the Third Proportional to 66,172,371 and 100,109,621.63

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Solution

The third proportional to 66,172,371 and 100,109,621.63 is: 151,451,975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,172,371 : 100,109,621.63 = 100,109,621.63 : x
  2. Step 2: Convert to fraction form
    66,172,371/100,109,621.63 = 100,109,621.63/x
  3. Step 3: Cross multiply
    66,172,371x = 100,109,621.63 × 100,109,621.63
  4. Step 4: Simplify right side
    66,172,371x = 10,021,936,341,900,668
  5. Step 5: Solve for x
    x = 10,021,936,341,900,668/66,172,371
  6. Step 6: Final answer
    x = 151,451,975.96

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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.