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Finding the Third Proportional to 628,679,519 and 1,322,509,221

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Solution

The third proportional to 628,679,519 and 1,322,509,221 is: 2,782,070,334.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,679,519 : 1,322,509,221 = 1,322,509,221 : x
  2. Step 2: Convert to fraction form
    628,679,519/1,322,509,221 = 1,322,509,221/x
  3. Step 3: Cross multiply
    628,679,519x = 1,322,509,221 × 1,322,509,221
  4. Step 4: Simplify right side
    628,679,519x = 1,749,030,639,630,026,752
  5. Step 5: Solve for x
    x = 1,749,030,639,630,026,752/628,679,519
  6. Step 6: Final answer
    x = 2,782,070,334.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.