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Finding the Third Proportional to 177,877,638 and 385,446,312

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Solution

The third proportional to 177,877,638 and 385,446,312 is: 835,230,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,877,638 : 385,446,312 = 385,446,312 : x
  2. Step 2: Convert to fraction form
    177,877,638/385,446,312 = 385,446,312/x
  3. Step 3: Cross multiply
    177,877,638x = 385,446,312 × 385,446,312
  4. Step 4: Simplify right side
    177,877,638x = 148,568,859,434,401,344
  5. Step 5: Solve for x
    x = 148,568,859,434,401,344/177,877,638
  6. Step 6: Final answer
    x = 835,230,673.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.