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Finding the Third Proportional to 221,147,053.50 and 479,884,800

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Solution

The third proportional to 221,147,053.50 and 479,884,800 is: 1,041,340,671.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,147,053.50 : 479,884,800 = 479,884,800 : x
  2. Step 2: Convert to fraction form
    221,147,053.50/479,884,800 = 479,884,800/x
  3. Step 3: Cross multiply
    221,147,053.50x = 479,884,800 × 479,884,800
  4. Step 4: Simplify right side
    221,147,053.50x = 230,289,421,271,040,000
  5. Step 5: Solve for x
    x = 230,289,421,271,040,000/221,147,053.50
  6. Step 6: Final answer
    x = 1,041,340,671.86

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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.