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Finding the Third Proportional to 218,179,638 and 470,969,199

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Solution

The third proportional to 218,179,638 and 470,969,199 is: 1,016,648,429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,179,638 : 470,969,199 = 470,969,199 : x
  2. Step 2: Convert to fraction form
    218,179,638/470,969,199 = 470,969,199/x
  3. Step 3: Cross multiply
    218,179,638x = 470,969,199 × 470,969,199
  4. Step 4: Simplify right side
    218,179,638x = 221,811,986,406,701,600
  5. Step 5: Solve for x
    x = 221,811,986,406,701,600/218,179,638
  6. Step 6: Final answer
    x = 1,016,648,429.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.