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Finding the Third Proportional to 193,488,936 and 420,988,836

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Solution

The third proportional to 193,488,936 and 420,988,836 is: 915,977,955.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,488,936 : 420,988,836 = 420,988,836 : x
  2. Step 2: Convert to fraction form
    193,488,936/420,988,836 = 420,988,836/x
  3. Step 3: Cross multiply
    193,488,936x = 420,988,836 × 420,988,836
  4. Step 4: Simplify right side
    193,488,936x = 177,231,600,036,634,880
  5. Step 5: Solve for x
    x = 177,231,600,036,634,880/193,488,936
  6. Step 6: Final answer
    x = 915,977,955.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.