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Finding the Third Proportional to 80,748,872 and 177,129,600

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Solution

The third proportional to 80,748,872 and 177,129,600 is: 388,549,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,748,872 : 177,129,600 = 177,129,600 : x
  2. Step 2: Convert to fraction form
    80,748,872/177,129,600 = 177,129,600/x
  3. Step 3: Cross multiply
    80,748,872x = 177,129,600 × 177,129,600
  4. Step 4: Simplify right side
    80,748,872x = 31,374,895,196,160,000
  5. Step 5: Solve for x
    x = 31,374,895,196,160,000/80,748,872
  6. Step 6: Final answer
    x = 388,549,021.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.