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Finding the Third Proportional to 148,336,299 and 218,215,821

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Solution

The third proportional to 148,336,299 and 218,215,821 is: 321,014,780.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,336,299 : 218,215,821 = 218,215,821 : x
  2. Step 2: Convert to fraction form
    148,336,299/218,215,821 = 218,215,821/x
  3. Step 3: Cross multiply
    148,336,299x = 218,215,821 × 218,215,821
  4. Step 4: Simplify right side
    148,336,299x = 47,618,144,534,704,040
  5. Step 5: Solve for x
    x = 47,618,144,534,704,040/148,336,299
  6. Step 6: Final answer
    x = 321,014,780.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.