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Finding the Third Proportional to 223,178,976 and 480,556,800

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Solution

The third proportional to 223,178,976 and 480,556,800 is: 1,034,751,759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,178,976 : 480,556,800 = 480,556,800 : x
  2. Step 2: Convert to fraction form
    223,178,976/480,556,800 = 480,556,800/x
  3. Step 3: Cross multiply
    223,178,976x = 480,556,800 × 480,556,800
  4. Step 4: Simplify right side
    223,178,976x = 230,934,838,026,240,000
  5. Step 5: Solve for x
    x = 230,934,838,026,240,000/223,178,976
  6. Step 6: Final answer
    x = 1,034,751,759.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.