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Finding the Third Proportional to 279,401,800.50 and 587,763,856.50

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Solution

The third proportional to 279,401,800.50 and 587,763,856.50 is: 1,236,449,981.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,401,800.50 : 587,763,856.50 = 587,763,856.50 : x
  2. Step 2: Convert to fraction form
    279,401,800.50/587,763,856.50 = 587,763,856.50/x
  3. Step 3: Cross multiply
    279,401,800.50x = 587,763,856.50 × 587,763,856.50
  4. Step 4: Simplify right side
    279,401,800.50x = 345,466,351,007,752,576
  5. Step 5: Solve for x
    x = 345,466,351,007,752,576/279,401,800.50
  6. Step 6: Final answer
    x = 1,236,449,981.32

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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.