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Finding the Third Proportional to 177,768,228 and 428,217,222

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Solution

The third proportional to 177,768,228 and 428,217,222 is: 1,031,511,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,768,228 : 428,217,222 = 428,217,222 : x
  2. Step 2: Convert to fraction form
    177,768,228/428,217,222 = 428,217,222/x
  3. Step 3: Cross multiply
    177,768,228x = 428,217,222 × 428,217,222
  4. Step 4: Simplify right side
    177,768,228x = 183,369,989,217,397,280
  5. Step 5: Solve for x
    x = 183,369,989,217,397,280/177,768,228
  6. Step 6: Final answer
    x = 1,031,511,599.57

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.