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Finding the Third Proportional to 219,015,072 and 480,860,352

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Solution

The third proportional to 219,015,072 and 480,860,352 is: 1,055,756,921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,015,072 : 480,860,352 = 480,860,352 : x
  2. Step 2: Convert to fraction form
    219,015,072/480,860,352 = 480,860,352/x
  3. Step 3: Cross multiply
    219,015,072x = 480,860,352 × 480,860,352
  4. Step 4: Simplify right side
    219,015,072x = 231,226,678,125,563,904
  5. Step 5: Solve for x
    x = 231,226,678,125,563,904/219,015,072
  6. Step 6: Final answer
    x = 1,055,756,921.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.